Sommaire du Fascicule no. 4

Correction to "Terminating prolongation procedures".

Johnson, H. H.

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Generalized twisted fields.

Albert, A. A.

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p. 1-8

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Operational calculus of linear relations.

Arens, Richard

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p. 9-23

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Disconjugacy of a self-adjoint differential equation of the fourth order.

Barrett, John H.

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p. 25-37

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Hardy's inequality and its extensions.

Beesack, Paul R.

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p. 39-61

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On invariant probability measures. II.

Blum, J. R. ; Hanson, D. L.

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p. 63-71

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Symmetry in group algebras of discrete groups.

Bonic, Robert A.

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p. 73-94

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Multiplication operators.

Buck, R. C.

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p. 95-103

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Some generalizations of metric spaces.

Ceder, Jack G.

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p. 105-125

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Random crossings of cumulative distribution functions.

Dwass, Meyer

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p. 127-134

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Radial distribution and deficiencies of the values of a meromorphic function.

Edrei, Albert ; Fuchs, Wolfgang H. J. ; Hellerstein, Simon

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p. 135-151

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Harmonic functions with arbitrary local singularities.

Fox, William C.

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p. 153-164

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Manifolds with positive curvature.

Frankel, Theodore

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p. 165-174

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A strong maximum principle for weakly subparabolic functions.

Friedman, Avner

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p. 175-184

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Asymptotics. II. Laplace's method for multiple integrals.

Fulks, W. ; Sather, J. O.

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p. 185-192

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An embedding of Riemann surfaces of genus one.

Garsia, A. M. ; Rodemich, E.

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p. 193-204

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Weak compactness and separate continuity.

Glicksberg, Irving

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p. 205-214

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On a conjecture of H. Hadwiger.

Grünbaum, Branko

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p. 215-219

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On the action of a locally compact group on $E_{n}$.

Hahn, F. J.

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p. 221-223

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Relative hermitian matrices.

Hestenes, Magnus R.

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p. 225-245

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On similarity invariants of certain operators in $L_{p}$.

Kalisch, G. K.

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p. 247-252

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The Stone-Weierstrass property in Banach algebras.

Katznelson, Yitzhak ; Rudin, Walter

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p. 253-265

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The subgroups of a divisible group $G$ which can be represented as intersections of divisible subgroups of $G$.

Khabbaz, Samir A.

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p. 267-273

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Construction of a class of modular functions and forms.

Knopp, Marvin Isadore

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p. 275-293

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Commuting Boolean algebras of projections.

McCarthy, C. A.

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p. 295-307

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Transformations of series of $E$-functions.

MacRobert, T. M.

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p. 309-311

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An inequality for logarithmic capacities.

Renggli, Heinz

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p. 313-314

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Applications of the subordination principle to univalent functions.

Robertson, M. S.

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p. 315-324

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Partition and modulated lattices.

Sachs, David

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p. 325-345

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Abstract martingale convergence theorems.

Scalora, Frank S.

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p. 347-374

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Torsion endomorphic images of mixed Abelian groups.

Walker, Elbert A.

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p. 375-377

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The prime divisors of Fibonacci numbers.

Ward, Morgan

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p. 379-386

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On the nilpotency class of a group of exponent four.

Wright, C. R. B.

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p. 387-394

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Convergent sequences of finitely additive measures.

Andô, Tsuyoshi

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p. 395-404

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The analytic-functional calculus in commutative topological algebras.

Arens, Richard

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p. 405-429

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On the graph structure of convex polyhedra in $n$-space.

Balinski, M. L.

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p. 431-434

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Tame Cantor sets in $E^{3}$.

Bing, R. H.

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p. 435-446

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Collections and sequences of continua in the plane. II.

Burgess, C. E.

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p. 447-454

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Another $1$-dimensional homogeneous continuum which contains an arc.

Case, James H.

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p. 455-469

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On plane curves with curvature.

Dubins, Lester E.

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p. 471-481

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Feasible flows and possible connections.

Duguid, A. M.

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p. 483-488

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Exceptional real Lucas sequences.

Durst, L. K.

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p. 489-494

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On certain non-linear opeartors and partial differential equations.

Heller, Gertrude I.

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p. 495-529

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Automorphisms of monomial groups.

Holmes, C. V.

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p. 531-545

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Those abelian groups characterized by their completely decomposable subgroups of finite rank.

Hsiang, Wu-chung ; Hsiang, Wu-yi

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p. 547-558

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Bounds for eigenvalues of the free and fixed membrane by finite difference methods.

Hubbard, Bert

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p. 559-590

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Transformations with bounded $m$th differences.

Hyers, D. H.

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p. 591-602

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Some generalizations of Doeblin's decomposition.

Isaac, Richard

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p. 603-608

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Uniform neighborhood retracts.

Isbell, J. R.

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p. 609-648

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On large deviations of the empiric D. F. of vector chance variables and a law of the iterated logarithm.

Kiefer, J.

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p. 649-660

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Construction of a class of modular functions and forms. II.

Knopp, Marvin Isadore

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p. 661-678

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Dissipative operators in a Banach space.

Lumer, G. ; Phillips, R. S.

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p. 679-698

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Lebesgue density as a set function.

Martin, N. F. G.

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p. 699-704

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Generalizations of Shannon-McMillan theorem.

Moy, Shu-teh C.

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p. 705-714

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The moment problem and weak convergence in $L^{2}$.

Neustadt, Lucien W.

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p. 715-721

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The structure of certain measure algebras.

Ross, Kenneth A.

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p. 723-737

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On some classes of scalar-product algebras.

Smith, J. F. ; Saworotnow, P. P.

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p. 739-750

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On equivalence of Gaussian measures.

Varberg, Dale E.

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p. 751-762

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The fundamental group of a union of spaces.

Weinzweig, A. I.

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p. 763-776

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A generalization of the Stone-Weierstrass theorem.

Bishop, Errett

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p. 777-783

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Best fit to a random variable by a random variable measurable with respect to a $\sigma $-lattice.

Brunk, H. D.

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p. 785-802

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Existence of a class of steady plane gravity flows.

Carter, D. S.

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p. 803-819

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On the theory of spatial invariants.

Cater, S.

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p. 821-831

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Linear recurrences of order two.

Chowla, S. ; Dunton, M. ; Lewis, D. J.

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p. 833-845

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The second conjugate space of a Banach algebra as an algebra.

Civin, Paul ; Yood, Bertram

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p. 847-870

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Wirtinger-type integral inequalities.

Coles, W. J.

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p. 871-877

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Strongly continuous Markov processes.

Foguel, S. R.

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p. 879-888

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Conditions for the modularity of an orthomodular lattice.

Foulis, D. J.

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p. 889-895

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The Sochocki-Plemelj formula for the functions of two complex variables.

Górski, Jerzy

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p. 897-907

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Extensions of sheaves of associative algebras by non-trivial kernels.

Gray, John W.

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p. 909-917

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Oscillation criteria for third-order linear differential equations.

Hanan, Maurice

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p. 919-944

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Some characterizations of a class of unavoidable compact sets in the game of Banach and Mazur.

Hanani, H. ; Reichbach, M.

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p. 945-959

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Complete holomorphs.

Harvey, John

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p. 961-970

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Physical interpretation and strengthing of M. Protter's method for vibrating nonhomogeneous membranes; its analogue for Schrödinger's equation.

Hersch, Joseph

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p. 971-980

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Real commutative semigroups on the plane.

Horne, J. G.

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p. 981-997

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The group of automorphisms of the holomorph of a group.

Hsu, Nai-chao

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p. 999-1012

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The cyclic connectivity of plane continua.

Jones, F. Burton

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p. 1013-1016

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Continuity and convexity of projections and barycentric coordinates in convex polyhedra.

Kalman, J. A.

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p. 1017-1022

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Moment inequalities of Pólya frequency functions.

Karlin, Samuel ; Proschan, Frank ; Barlow, Richard E.

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p. 1023-1033

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Imbedding compact Riemann surfaces in $3$-space.

Klotz, Tilla

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p. 1035-1043

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Principles of partial reflection in the set theories of Zermelo and Ackermann.

Lévy, A. ; Vaught, R.

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p. 1045-1062

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Two classes of Diophantine equations.

Lewis, D. J.

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p. 1063-1076

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Reversible transformations.

Lewis, Daniel C.

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p. 1077-1087

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Group membership in rings and semigroups.

Losey, Gerald ; Schneider, Hans

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p. 1089-1098

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On the difference and sum of basic sets of polynomials.

Mihail, M. N. ; Nassif, M.

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p. 1099-1107

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Automorphisms of separable algebras.

Rosenberg, Alex ; Zelinsky, Daniel

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p. 1109-1117

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Automorphisms of classical Lie algebras.

Steinberg, Robert

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p. 1119-1129

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Multipliers of commutative Banach algebras.

Wang, Ju-kwei

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p. 1131-1149

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Axioms for non-relativistic quantum mechanics.

Zierler, Neal

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p. 1151-1169

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Prediction theory for Markoff processes.

Balakrishnan, A. V.

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p. 1171-1182

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Upper bounds for the eigenvalues of some vibrating systems.

Banks, Dallas

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p. 1183-1203

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On the field of rational functions of algebraic groups.

Białynicki-Birula, A.

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p. 1205-1209

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Simple paths on convex polyhedra.

Brown, Thomas A.

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p. 1211-1214

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Some congruences for the Bell polynomials.

Carlitz, L.

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p. 1215-1222

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Extensions of homomorphisms.

Civin, Paul

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p. 1223-1233

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Asymptotic decay of solutions of differential inequalities.

Cohen, Paul J. ; Lees, Milton

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p. 1235-1249

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Self-intersection of a sphere on a complex quadric.

Fáry, I.

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p. 1251-1255

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Groups which have a faithful representation of degree less than $(p-1/2)$.

Feit, Walter ; Thompson, John G.

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p. 1257-1262

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Mean cross-section measures of harmonic means of convex bodies.

Firey, William J.

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p. 1263-1266

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The wave equation for differential forms.

Friedman, Avner

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p. 1267-1279

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Bases of tensor products of Banach spaces.

Gelbaum, B. R. ; Gil de Lamadrid, J.

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p. 1281-1286

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Infinitely divisible probabilities on the hyperbolic plane.

Getoor, R. K.

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p. 1287-1308

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Sequences in groups with distinct partial products.

Gordon, Basil

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p. 1309-1313

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Relative self-adjoint operators in Hilbert space.

Hestenes, Magnus R.

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p. 1315-1357

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On a theorem of Fejér.

Hsiang, Fu Cheng

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p. 1359-1362

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On $N$-high subgroups of Abelian groups.

Irwin, John M. ; Walker, Elbert A.

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p. 1363-1374

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High subgroups of Abelian torsion groups.

Irwin, John M.

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p. 1375-1384

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Quotient rings of rings with zero singular ideal.

Johnson, R. E.

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p. 1385-1392

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The asymptotic distribution of the time-to-escape for comets strongly bound to the solar system.

Kendall, David G. ; Mott, J. L.

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p. 1393-1399

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The spectrum of singular self-adjoint elliptic operators.

Kreith, Kurt

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p. 1401-1405

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The semicontinuity of the most general integral of the calculus of variations in non-parametric form.

Lombardi, Lionello

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p. 1407-1419

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Game theoretic proof that Chebyshev inequalities are sharp.

Marshall, Albert W. ; Olkin, Ingram

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p. 1421-1429

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Primitive algebras with involution.

Martindale, Wallace S.

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p. 1431-1441

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Decomposition of holomorphs.

Mills, W. H.

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p. 1443-1446

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On the representation theory for cylindric algebras.

Monk, J. Donald

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p. 1447-1457

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A note on generalizations of Shannon-McMillan theorem.

Moy, Shu-teh C.

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p. 1459-1465

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An imbedding space for Schwartz distributions.

Myers, Donald E.

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p. 1467-1477

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Category methods in recursion theory.

Myhill, J.

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p. 1479-1486

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On extremal properties for annular radial and circular slit mappings of bordered Riemann surfaces.

Nickel, Paul A.

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p. 1487-1503

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Primal clusters of two-element algebras.

O'Keefe, Edward S.

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p. 1505-1510

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Applications of the topological method of Ważewski to certain problems of asymptotic behavior in ordinary differential equations.

Onuchic, Nelson

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p. 1511-1527

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A theorem on regular matrices.

Perkins, Peter

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p. 1529-1533

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Centroid surfaces.

Petty, C. M.

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p. 1535-1547

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Asymptotic estimates for limit circle problems.

Swanson, C. A.

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p. 1549-1559

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On essential absolute continuity.

Thompson, Robert J.

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p. 1561-1569

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