Sommaire du Fascicule no. 1

Erratum: ``Particle creation by black holes''

Hawking, S. W.

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Boundedness below for fermion model theories. II. The linear lower bound

Brydges, David C.

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p. 1-24

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Remark on the energy spectrum of a decaying system

Exner, Pavel

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p. 1-10

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Stability and equilibrium states of infinite classical systems

Aizenman, Michael ; Gallavotti, Giovanni ; Goldstein, Sheldon ; Lebowitz, Joel L.

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p. 1-14

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Classical KMS condition and Tomita-Takesaki theory

Gallavotti, G. ; Pulvirenti, M.

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p. 1-9

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Particles and scaling for lattice fields and Ising models

Glimm, James ; Jaffe, Arthur

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p. 1-13

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Scattering states and bound states in $\lambda {\cal P}(\phi)_{2}$

Spencer, Thomas ; Zirilli, Francesco

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p. 1-16

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Unbounded derivations of $C^*$-algebras. II

Bratteli, Ola ; Robinson, Derek W.

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p. 11-30

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Constants of motion in local field theory (Coleman's theorem revisited)

Bros, J. ; Buchholz, D. ; Glaser, V.

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p. 11-22

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Statistical mechanics models and the modular group

Lund, Fernando ; Rasetti, Mario ; Regge, Tullio

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p. 15-40

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Positive linear maps on operator algebras

Evans, David E.

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p. 15-22

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Space-time singularities

Clarke, C. J. S.

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p. 17-23

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Operator product expansions on the vacuum in conformal quantum field theory in two spacetime dimensions

Lüscher, M.

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p. 23-52

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Scattering in the CAR algebra

Evans, David E.

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p. 23-30

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On the Hartree-Fock time-dependent problem

Bove, A. ; Da Prato, G. ; Fano, G.

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p. 25-33

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Dissipations and derivations

Kishimoto, A.

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p. 25-32

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Canonical and grand canonical Gibbs states for continuum systems

Georgii, Hans-Otto

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p. 31-51

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Unbounded derivations and invariant trace states

Bratteli, Ola ; Robinson, Derek W.

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p. 31-35

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On Lorentz invariant distributions

Zinoviev, Yu. M.

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p. 33-42

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Interface profile of the Ising ferromagnet in two dimensions

Abraham, D. B. ; Reed, P.

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p. 35-46

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Relaxing the clustering condition in the derivation of the KMS property

Bratteli, Ola ; Kastler, Daniel

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p. 37-42

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On the bound state in weakly coupled $\lambda (\varphi^{6}-\varphi^{4})_{2}$

Dimock, J. ; Eckmann, J.-P.

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p. 41-54

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Extreme affine transformations

Gorini, Vittorio ; Sudarshan, E. C. G.

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p. 43-52

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Distributional limits of renormalized Feynman integrals with zero-mass denominators

Lowenstein, J. H. ; Speer, E.

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p. 43-51

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A superposition principle in quantum logics

Pulmannovå, Sylvia

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p. 47-51

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Quantized fields in external field. II. Existence theorems

Bellissard, J.

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p. 53-74

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On resonant non linearly coupled oscillators with two equal frequencies

Kummer, Martin

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p. 53-79

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Convergence theorems for renormalized Feynman integrals with zero-mass propagators

Lowenstein, J. H.

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p. 53-68

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Bose-Einstein condensation with attractive boundary conditions

Robinson, Derek W.

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p. 53-59

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Hamilton-Jacobi separable, axisymmetric, perfect-fluid solutions of Einstein's equations

Bonanos, Sotirios

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p. 53-61

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Quasi-free states and automorphisms of the CCR-algebra

Fannes, M.

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p. 55-66

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Integration of the Tomonaga-Schwinger equation

Wakita, Hitoshi

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p. 61-68

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Stationary solutions of the Bogoliubov hierarchy equations in classical statistical mechanics. I

Gurevich, B. M. ; Suhov, Ju. M.

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p. 63-96

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Sommerfeld-Watson representation for double-spectral functions. III. Crossing symmetric pion-pion scattering amplitude with Regge poles

Atkinson, D. ; Kaekebeke, M. ; Frederiksen, J. S. ; Johnson, P. W.

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p. 67-84

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There are no scalar Lie fields in three or more dimensional space-time

Baumann, Klaus

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p. 69-74

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A two-dimensional mapping with a strange attractor

Hénon, M.

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p. 69-77

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A conventional proof of Kerr's theorem

Cox, D. ; Flaherty, E. J.

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p. 75-79

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Ferromagnetic spin systems at low temperatures

Slawny, J.

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p. 75-97

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Infrared bounds, phase transitions and continuous symmetry breaking

Fröhlich, J. ; Simon, B. ; Spencer, Thomas

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p. 79-95

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Time evolution of infinite classical systems with singular, long range, two body interactions

Presutti, Errico ; Pulvirenti, Mario ; Tirozzi, Brunello

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p. 81-95

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On the Spinor rank of Fermi fields

Mardin, A. ; Streater, R. F.

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p. 81-83

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Groups of automorphisms with spectrum condition and the lifting problem

Olesen, Dorte ; Pedersen, Gert Kjaergård

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p. 85-95

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A definition of Gibbs state for a compact set with $Z^{\nu}$åction

Capocaccia, D.

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p. 85-88

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Pure massless electrodynamics in Veltman's gauge

Rouet, A.

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p. 89-96

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Relativistic quantum theory without quantized fields. I. Particles in the Minkowski space

Mensky, M. B.

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p. 97-108

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Complex-dimensional invariant delta functions and lightcone singularities

Nakanishi, Noboru

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p. 97-118

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A possible constructive approach to $\varphi^{4}_{4}$. III

Schrader, Robert

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p. 97-102

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The geometry of a covariant expansion in chiral theories with nucleons

Daniel, Michael

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p. 97-106

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Existence of the critical point in $\phi^{4}$ field theory

McBryan, Oliver A. ; Rosen, Jay

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p. 97-105

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The time-dependent Hartree-Fock equations with Coulomb two-body interaction

Chadam, J. M.

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p. 99-104

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Quasi-free ``second quantization''

Lundberg, Lars-Erik

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p. 103-112

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Infrared convergence of Feynman integrals for the massless $A^{4}$-model

Lowenstein, J. H. ; Zimmermann, W.

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p. 105-118

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Taylor's theorem for analytic functions of operators

Brittin, Wesley E. ; Wyss, Walter

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p. 107-112

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Local cohomology and superselection structure

Roberts, John E.

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p. 107-119

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On fitting rotating bodies to exterior gravitational fields

Abramowicz, M. A. ; Lasota, J. P. ; Muchotrzeb, B.

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p. 109-115

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Random point processes and DLR equations

Suhov, Yu. M.

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p. 113-132

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The classical limit for quantum dynamical semigroups

Davies, E. B.

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p. 113-129

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Some remarks on Fröhlich's condition in $P(\phi)_{2}$ Euclidean field theory

Kishimoto, A.

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p. 117-129

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Hyperfunction quantum field theory

Nagamachi, S. ; Mugibayashi, N.

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p. 119-134

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On the generators of quantum dynamical semigroups

Lindblad, G.

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p. 119-130

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Thermal particle production in two Taub-NUT type spacetimes

Lapedes, Alan S.

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p. 121-133

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A possible constructive approach to $\phi^{4}_{4}$

Schrader, Robert

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p. 131-153

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On the probabilistic structure of quasi-free states of a Clifford algebra

Sirugue-Collin, M. ; Sirugue, M.

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p. 131-135

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Statistical mechanics of a one-dimensional lattice gas with exponential-polynomial interactions

Viswanathan, K. S.

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p. 131-141

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Green's functions, Hamiltonians and modular automorphisms

Bratteli, Ola ; Robinson, Derek W.

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p. 133-156

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An application of Morse theory to space-time geometry

Woodhouse, N. M. J.

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p. 135-152

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Spectra of Liouville operators

ten Brinke, Gerrit ; Winnink, Marinus

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p. 135-150

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On the discrete spectrum of the Schrödinger operators of multiparticle systems

Sigal, I. M.

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p. 137-154

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Remarks on the relation between the Lee-Yang circle theorem and the correlation inequalities

Ito, Keiichi R.

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p. 143-153

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Resistance inequalities for KMS states of the isotropic Heisenberg model

Powers, Robert T.

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p. 151-156

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Scattering from impurities in a crystal

Bentosela, F.

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p. 153-166

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On the point spectrum of the Schrödinger operators of multiparticle systems

Sigal, I. M.

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p. 155-164

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Cluster properties of lattice and continuous systems

Duneau, M. ; Squillard, B.

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p. 155-166

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Statistical geometry and space-time

Grauert, Hans

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p. 155-160

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Isolated maximal surfaces in spacetime

Brill, Dieter ; Flaherty, Frank

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p. 157-165

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A restriction on the topology of Cauchy surfaces in general relativity

Lee, C. W.

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p. 157-162

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Bounded perturbations of dynamics

Buchholz, D. ; Roberts, J. E.

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p. 161-177

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A symplectic structure on the set of Einstein metrics. A canonical formalism for general relativity

Szczyrba, Wiktor

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p. 163-182

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Global properties of radial wave functions in Schwarzschild's space-time. I. The regular singular points

Persides, S.

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p. 165-189

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A new method for constructing factorisable representations for current groups and current algebras

Parthasarathy, K. R. ; Schmidt, K.

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p. 167-175

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On uniqueness of KMS states of one-dimensional quantum lattice systems

Kishimoto, A.

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p. 167-170

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The GHS and other correlation inequalities for a class of even ferromagnets

Ellis, Richard S. ; Monroe, James L. ; Newman, Charles M.

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p. 167-182

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Fredholm determinants and inverse scattering problems

Dyson, Freeman J.

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p. 171-183

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Algebraic implications of composability of physical systems

Grgin, Emil ; Petersen, Aage

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p. 177-188

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Conformal changes and geodesic completeness

Beem, John K.

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p. 179-186

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Generalized Trotter's formula and systematic approximants of exponential operators and inner derivations with applications to many-body problems

Suzuki, Masuo

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p. 183-190

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A canonical structure for classical field theories

Kijowski, Jerzy ; Szczyrba, Wiktor

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p. 183-206

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High frequency gravitational radiation in Kerr-Schild space-times

Taub, A. H.

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p. 185-196

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The existence of maximal slicings in asymptotically flat spacetimes

Cantor, M. ; Fischer, A. ; Marsden, J. ; Ō Murchadha, N. ; York, J.

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p. 187-190

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Probability estimates for continuous spin systems

Ruelle, D.

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p. 189-194

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Parity operator and quantization of $\delta $-functions

Grossmann, A.

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p. 191-194

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Non-radiative solutions of Einstein's equations for dust

Bonnor, W. B.

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p. 191-200

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Generalized $K$-flows

Emch, Gérard G.

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p. 191-215

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Heat equation on phase space and the classical limit of quantum mechanical expectation values

Grossmann, A. ; Seiler, R.

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p. 195-197

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Statistical mechanics of systems of unbounded spings

Lebowitz, Joel L. ; Presutti, Errico

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p. 195-218

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Necessary and sufficient conditions for integral representations of Wightman functionals at Schwinger points

Borchers, H. J. ; Yngvason, J.

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p. 197-213

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Remarks on the Wilson-Zimmermann expansion and some properties of the $m$-point distribution

Adetunji, Oluwole

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p. 199-205

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On perturbations of the periodic Toda lattice

Bogoyavlensky, O. I.

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p. 201-209

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Integrable Hamiltonian systems and interactions through quadratic constraints

Pohlmeyer, K.

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p. 207-221

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Thermodynamic limit of correlation functions in a system of gravitating fermions

Baumgartner, Bernhard

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p. 207-214

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Field theory with an external potential

Hochstenbach, W. J. M. A.

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p. 211-217

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The Thomas-Fermi-theory as result of a strong-coupling-limit

Baumgartner, Bernhard

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p. 215-219

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Operator product expansions in conformally covariant quantum field theory

Rühl, W. ; Yunn, B. C.

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p. 215-233

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Time evolution for infinitely many hard spheres

Alexander, Roger

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p. 217-232

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On the construction of quasimodes associated with stable periodic orbits

Ralston, J. V.

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p. 219-242

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Dilations of dynamical semi-groups

Evans, D. E. ; Lewis, J. T.

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p. 219-227

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On the time-delay of simple scattering systems

Martin, Philippe A.

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p. 221-227

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Macrocausality conditions from analyticity properties of scattering kernels in field theory

Manolessou-Grammaticou, Marietta

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p. 223-243

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On the four-valuedness of twistors

Clarke, C. J. S.

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p. 229-231

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Global properties of radial wave functions in Schwarzschild's space-time. II. The irregular singular point

Persides, S.

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p. 229-239

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Classical and quantum statistical mechanics in one and two dimensions: two-component Yukawa- and Coulomb systems

Fröhlich, Jürg

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p. 233-268

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The cluster expansion in statistical mechanics

Brydges, David ; Federbush, Paul

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p. 233-246

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Self-adjointness and invariance of the essential spectrum for Dirac operators defined as quadratic forms

Nenciu, G.

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p. 235-247

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Enveloping subspaces and superposition of states

Cantoni, Vittorio

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p. 241-244

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Nonextendible positive maps

Woronowicz, S. L.

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p. 243-282

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High-temperature analyticity in classical lattice systems

Israel, Robert B.

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p. 245-257

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First order phase transition in the plane rotator ferromagnetic model in two dimensions

Kunz, H. ; Pfister, C.-E.

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p. 245-251

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Correlation inequalities for multicomponent rotators

Dunlop, François

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p. 247-256

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Applications of the stochastic Ising model to the Gibbs states

Holley, Richard A. ; Stroock, Daniel W.

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p. 249-265

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Correlation inequalities in quantum statistical mechanics and their application in the Kondo problem

Roepstorff, G.

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p. 253-262

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Hyperfunction quantum field theory. II. Euclidean Green's functions

Nagamachi, S. ; Mugibayashi, N.

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p. 257-275

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Symmetry conservation and integrals over local charge densities in quantum field theory

Requardt, M.

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p. 259-263

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On the $b$-boundary of the closed Friedmann-model

Bosshard, B.

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p. 263-268

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Author index to Vols. 1-50 (1965--1976)

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p. 265-294

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Zero-mass limit in perturbative quantum field theory

Bergère, M. C. ; Lam, Yuk-Ming P.

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p. 267-290

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New super-selection sectors (``soliton-states'') in two dimensional Bose quantum field models

Fröhlich, Jürg

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p. 269-310

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On invariant and covariant Schwartz distributions in the case of a compact linear group

Oksak, A. I.

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p. 269-287

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On the space-time interpretation of classical canonical systems. I. The general theory

Drühl, K.

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p. 277-288

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Solution of the local mass problem in general relativity

Choquet-Bruhat, Yvonne ; Marsden, Jerrold E.

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p. 283-296

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Zeeman topologies on space-times of general relativity theory

Göbel, Rüdiger

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p. 289-307

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On the space-time interpretation of classical canonical systems. II. Relativistic canonical systems

Drühl, K.

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p. 289-300

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Second quantization of classical nonlinear relativistic field theory. II. Construction of relativistic interacting local quantum field

Bałaban, T. ; Jezuita, K. ; Rączka, R.

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p. 291-311

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The Wightman axioms for the weakly coupled Yukawa model in two dimensions

Magnen, J. ; Sénéor, R.

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p. 297-313

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Percolation and phase transitions in the Ising model

Coniglio, Antonio ; Nappi, Chiara Rosanna ; Peruggi, Fulvio ; Russo, Lucio

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p. 315-323

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