Sommaire du Fascicule no. 1

Sharp bounds on the number of scattering poles in even-dimensional spaces

Vodev, Georgi

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p. 1-17

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Topological Radon transforms and the local Euler obstruction

Ernström, Lars

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p. 1-21

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The smooth classification of elliptic surfaces with $b^+>1$

Stipsicz, András ; Szabó, Zoltán

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p. 1-50

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Connections and propagation of analyticity for CR functions

Tumanov, A.

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p. 1-24

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On the Maxwell-Klein-Gordon equation with finite energy

Klainerman, S. ; Machedon, M.

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p. 19-44

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Bott towers, complete integrability, and the extended character of representations

Grossberg, Michael ; Karshon, Yael

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p. 23-58

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Hypoellipticity in the tangential Cauchy-Riemann complex

Francsics, Gábor

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p. 25-77

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Distribution of energy levels of a quantum free particle on a surface of revolution

Bleher, Pavel M.

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p. 45-93

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A computation of Green functions for the weighted biharmonic operators $\Delta|z|^{-2\alpha}\Delta$ , with $\alpha>-1$

Hedenmalm, Per Jan Håkan

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p. 51-78

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Negative Ricci curvature and isometry group

Dai, Xianzhe ; Shen, Zhongmin ; Wei, Guofang

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p. 59-73

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Derived heights and generalized Mazur-Tate regulators

Bertolini, Massimo ; Darmon, Henri

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p. 75-111

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Evolving plane curves by curvature in relative geometries II

Gage, Michael E. ; Li, Yi

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p. 79-98

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Une formule de Poisson pour les variétés de Heisenberg

Pesce, Hubert

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p. 79-95

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Topological finiteness theorems for manifolds in Gromov-Hausdorff space

Ferry, Steven C.

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p. 95-106

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$L^p$ regularity for the wave equation with strictly convex obstacles

Smith, Hart F. ; Sogge, Christopher D.

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p. 97-153

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Log abundance theorem for threefolds

Keel, Sean ; Matsuki, Kenji ; McKernan, James

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p. 99-119

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Carleman inequalities and unique continuation for higher-order elliptic differential operators

Wang, Wensheng

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p. 107-128

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Pointwise ergodic theorems for radial averages on simple Lie groups I

Nevo, Amos

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p. 113-140

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On the zeta functions of Shimura varieties and periods of Hilbert modular forms

Yoshida, Hiroyuki

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p. 121-191

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Connection formula of symmetric $A$ -type Jackson integrals

Aomoto, Kazuhiko ; Kato, Yoshifumi

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p. 129-143

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Differential operators, holomorphic projection, and singular forms

Shimura, Goro

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p. 141-173

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Normal forms of real surfaces under unimodular transformations near elliptic complex tangents

Gong, Xianghong

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p. 145-157

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Metric pinching of locally symmetric spaces

Plaut, Conrad

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p. 155-162

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The central limit theorem for the geodesic flow on noncompact manifolds of constant negative curvature

Le Jan, Y.

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p. 159-175

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Lower bounds on the interaction between cavities connected by a thin tube

Brown, Russell M. ; Hislop, P. D. ; Martinez, A.

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p. 163-176

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On the Cauchy and invariant measure problem for the periodic Zakharov system

Bourgain, Jean

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p. 175-202

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Mapping properties of the Bergman projection on convex domains of finite type

McNeal, J. D. ; Stein, E. M.

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p. 177-199

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Weak type- $(1,1)$ inequalities and regularity properties of adjoint and normalized adjoint solutions to linear nondivergence form operators with VMO coefficients

Escauriaza, Luis

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p. 177-201

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Unitary representations of Brieskorn spheres

Boden, Hans U.

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p. 193-220

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Betti numbers on a tower of coverings

Yeung, Sai Kee

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p. 201-226

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Koszul duality for operads

Ginzburg, Victor ; Kapranov, Mikhail

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p. 203-272

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The Whitham-type equations and linear overdetermined systems of Euler-Poisson-Darboux type

Tian, Fei Ran

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p. 203-221

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Méthode des fibrations et obstruction de Manin

Harari, David

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p. 221-260

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Conformal immersions of complete Riemannian manifolds and extensions of the Schwarz Lemma

Ratto, Andrea ; Rigoli, Marco ; Veron, Laurent

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p. 223-236

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Exotic Fourier transform

Lusztig, George

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p. 227-241

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A variational mixed Torelli theorem

Ivinskis, Kęstutis

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p. 237-251

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Appendix: An exotic Fourier transform for $H_4$

Malle, Gunter

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p. 243-248

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On Poisson pairs associated to modified $R$ -matrices

Gurevich, Dmitrii ; Panyushev, Dmitrii

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p. 249-255

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Lifting modular $\mod \ell$ representations

Diamond, Fred ; Taylor, Richard

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p. 253-269

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Third derivative estimates for Dirichlet's problem in convex domains

Fromm, Stephen J. ; Jerison, David

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p. 257-268

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Irreducible modular representations of $\mathrm{GL}_2$ of a local field

Barthel, L. ; Livné, R.

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p. 261-292

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Hypergeometric functions and rings generated by monomials

Adolphson, Alan

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p. 269-290

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A finiteness theorem for elliptic Calabi-Yau threefolds

Gross, Mark

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p. 271-299

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Geodesics of Hofer’s metric on the group of Hamiltonian diffeomorphisms

Bialy, Misha ; Polterovich, Leonid

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p. 273-292

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The geometry of properly embedded special surfaces in $\mathbf{R}^3$ ; e.g., surfaces satisfying $aH+bK=1$ , where $a$ and $b$ are positive

Rosenberg, Harold ; Sa Earp, Ricardo

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p. 291-306

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On the Hodge structure of projective hypersurfaces in toric varieties

Batyrev, Victor V. ; Cox, David A.

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p. 293-338

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The critical asymptotics of scalar curvatures of the conformal complete metrics with negative curvature

Gui, Changfeng ; Wang, Xuefeng

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p. 293-302

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Geometry of balls in nilpotent Lie groups

Karidi, Ron

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p. 301-317

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Scattering on a finite chain of vortices

Šťovíček, Pavel

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p. 303-332

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Numerical invariants of perverse sheaves

Massey, David B.

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p. 307-369

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The quasi-classical asymptotics of local Riesz means for the Schrödinger operator in a strong homogeneous magnetic field

Sobolev, A. V.

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p. 319-429

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Algebraic approximations of holomorphic maps from Stein domains to projective manifolds

Demailly, Jean-Pierre ; Lempert, László ; Shiffman, Bernard

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p. 333-363

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Ideals of minors in free resolutions

Eisenbud, David ; Green, Mark L.

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p. 339-352

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The Cauchy problem for hyperbolic operators of strong type

Kajitani, Kunihiko ; Wakabayashi, Seiichiro ; Nishitani, Tatsuo

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p. 353-408

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Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras

Nakajima, Hiraku

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p. 365-416

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Kleinian groups with small limit sets

Canary, Richard D. ; Taylor, Edward

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p. 371-381

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Crystal bases of modified quantized enveloping algebra

Kashiwara, Masaki

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p. 383-413

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Rational points on nonsingular cubic hypersurfaces

Skinner, Christopher M.

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p. 409-466

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Lie bialgebroids and Poisson groupoids

Mackenzie, Kirill C. H. ; Xu, Ping

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p. 415-452

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Normal and tangent ranks of CR mappings

Chirka, E. M. ; Rea, C.

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p. 417-431

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On the critical values of $L$ -functions of $GL(2)$ and $GL(2) \times GL(2)$

Hida, Haruzo

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p. 431-529

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Scattering theory for $N$ -particle systems in constant magnetic fields

Gérard, C. ; Łaba, I.

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p. 433-465

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Holonomic $q$ -difference system of the first order associated with a Jackson integral of Selberg type

Mimachi, Katsuhisa

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p. 453-468

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The trace formula and Drinfeld’s upper halfplane

Faltings, Gerd

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p. 467-481

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The topological group structure of algebraic cycles

Lima-Filho, Paulo

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p. 467-491

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On minuscule representations, plane partitions and involutions in complex Lie groups

Stembridge, John R.

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p. 469-490

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The quantum group of plane motions and the Hahn-Exton $q$ -Bessel function

Koelink, H. T.

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p. 483-508

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Rank one elliptic $A$ -modules and $A$ -harmonic series

Anderson, Greg W.

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p. 491-542

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$2$ -categories and $2$ -knots

Fischer, Jr., John E.

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p. 493-526

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Comparison of generalized theta functions

Pantev, Tony

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p. 509-539

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Correction to “Metric pinching of locally symmetric spaces”

Plaut, Conrad

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p. 527-528

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Green forms and their product

Burgos, José Ignacio

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p. 529-574

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On the topology of nonnegatively curved simply connected $4$ -manifolds with discrete symmetry

Yang, DaGang

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p. 531-545

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Estimates on stochastic oscillatory integrals and on the heat kernel of the magnetic Schrödinger operator

Erdős, László

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p. 541-566

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Temps de vie et comportement explosif des solutions d'équations d'ondes quasi-linéaires en dimension deux, II

Alinhac, Serge

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p. 543-560

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On the topology of nonnegatively curved simply connected $4$ -manifolds with continuous symmetry

Searle, Catherine ; Yang, DaGang

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p. 547-556

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A generalization of the radiation condition of Sommerfeld for $N$ -body Schrödinger operators

Isozaki, Hiroshi

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p. 557-584

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Propagation of singularities from singular and infinite points in certain complex-analytic Cauchy problems and an application to the Pompeiu problem

Ebenfelt, Peter

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p. 561-582

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A quantum analogue of the Capelli identity and an elementary differential calculus on $GL_q(n)$

Noumi, Masatoshi ; Umeda, Tôru ; Wakayama, Masato

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p. 567-594

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Brownian motion and the fundamental frequency of a drum

Bañuelos, Rodrigo ; Carroll, Tom

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p. 575-602

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Correspondences to abelian varieties I

Kimura, Shun-Ichi

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p. 583-591

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Representations of affine Lie algebras, parabolic differential equations, and Lamé functions

Etingof, Pavel I. ; Kirillov, Jr., Alexander A.

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p. 585-614

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Multiple solutions to the Plateau problem for nonconstant mean curvature

Bethuel, Fabrice ; Rey, Olivier

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p. 593-646

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The twisted endoscopy of $GL(4)$ and $GL(5)$ : transfer of Shalika germs

Hales, Thomas C.

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p. 595-632

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The geometry of degree-four characteristic classes and of line bundles on loop spaces I

Brylinski, J.-L. ; Mclaughlin, D. A.

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p. 603-638

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Nonexistence results for solutions of semilinear elliptic equations

Benguria, Rafael D. ; Lorca, Sebastián ; Yarur, Cecilia S.

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p. 615-634

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Maximal operators associated to families of flat curves in the plane

Iosevich, Alex

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p. 633-644

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Root multiplicities of Kac-Moody algebras

Kang, Seok-Jin

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p. 635-666

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On a question of B. Mazur

Buium, Alexandru

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p. 639-644

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Evolution of semilinear waves with swallowtail singularities

Sá Barreto, Antônio

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p. 645-710

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Integrable functional equations and algebraic geometry

Dubrovin, B. A. ; Fokas, A. S. ; Santini, P. M.

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p. 645-668

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Coherent cohomology, limits of discrete series, and Galois conjugation

Blasius, Don ; Harris, Michael ; Ramakrishnan, Dinakar

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p. 647-685

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The radial behavior of a quasiconformal mapping

Koskela, Pekka

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p. 667-679

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Corrections to “The Eisenstein constant”

Dwork, Bernard M. ; van der Poorten, Alfred J.

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p. 669-672

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On the convergence of spinor zeta functions attached to Hecke eigenforms on $Sp_4(\mathbb{Z})$

Kohnen, Winfried

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p. 673-681

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A nonvanishing result for twists of $L$ -functions of $\mathrm{GL}(n)$

Barthel, Laure ; Ramakrishnan, Dinakar

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p. 681-700

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Further improvements in Waring’s problem, II: Sixth powers

Vaughan, R. C. ; Wooley, T. D.

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p. 683-710

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Shape theory and asymptotic morphisms for $C^\ast$ -algebras

Dadarlat, Marius

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p. 687-711

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Removable boundary singularities for solutions of some nonlinear differential equations

Sheu, Yuan-Chung

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p. 701-711

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A Pieri formula in the Grothendieck ring of a flag bundle

Fulton, William ; Lascoux, Alain

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p. 711-729

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Limit distributions of polynomial trajectories on homogeneous spaces

Shah, Nimish A.

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p. 711-732

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Diffraction pour l'équation de la chaleur

Hargé, T.

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p. 713-744

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Inequality of Bogomolov-Gieseker type on arithmetic surfaces

Moriwaki, Atsushi

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p. 713-761

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Uniqueness of Whittaker functionals on the metaplectic group

Bump, Daniel ; Lieman, Daniel

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p. 731-739

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Residual intersections and some applications

Wu, Xian

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p. 733-758

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Lattice points on ellipses

Cilleruelo, J. ; Córdoba, A.

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p. 741-750

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Coefficient estimates on weighted Bergman spaces

McCarthy, John E.

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p. 751-760

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Recurrent geodesics and controlled concentration points

Aebischer, Beat ; Hong, Sungbok ; McCullough, Darryl

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p. 759-774

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On Whittaker coefficients of some metaplectic forms

Böcherer, S. ; Furusawa, M. ; Schulze-Pillot, R.

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p. 761-772

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On the Drinfeld double and the Heisenberg double of a Hopf algebra

Lu, Jiang-Hua

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p. 763-776

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Deformations of Picard sheaves and moduli of pairs

Balaji, V. ; Vishwanath, P. A.

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p. 773-792

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Sur la dégénérescence des groupes de Schottky

Otal, Jean-Pierre

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p. 777-792

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Analytic discs and the regularity of CR mappings in higher codimension

Tumanov, A.

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p. 793-807

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The hyperelliptic locus

Poor, Cris

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p. 809-884

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Elliptic Dunkl operators, root systems, and functional equations

Buchstaber, V. M. ; Felder, G. ; Veselov, A. P.

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p. 885-911

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Local regularity of solutions to wave equations with time-dependent potentials

Ruiz, Alberto ; Vega, Luis

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p. 913-940

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