Contents of Volume 131, Number 4

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Polynomial Pell's equation

William A. Webb; Hisashi Yokota
Proc. Amer. Math. Soc. 131 (2003), 993-1006.
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Inverse limits of algebras as retracts of their direct products

A. Laradji
Proc. Amer. Math. Soc. 131 (2003), 1007-1010.
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Finiteness of representation dimension

Osamu Iyama
Proc. Amer. Math. Soc. 131 (2003), 1011-1014.
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Reduction numbers and initial ideals

Aldo Conca
Proc. Amer. Math. Soc. 131 (2003), 1015-1020.
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Fuchs' problem 34 for mixed Abelian groups

Ulrich Albrecht
Proc. Amer. Math. Soc. 131 (2003), 1021-1029.
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On functions whose graph is a Hamel basis

Krzysztof Plotka
Proc. Amer. Math. Soc. 131 (2003), 1031-1041.
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On a theorem of R. Steinberg on rings of coinvariants

Larry Smith
Proc. Amer. Math. Soc. 131 (2003), 1043-1048.
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Factorization of monic polynomials

William J. Heinzer; David C. Lantz
Proc. Amer. Math. Soc. 131 (2003), 1049-1052.
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Catalan paths and quasi-symmetric functions

J.-C. Aval; N. Bergeron
Proc. Amer. Math. Soc. 131 (2003), 1053-1062.
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Average values of symmetric square $L$-functions at the edge of the critical strip

J. Wu
Proc. Amer. Math. Soc. 131 (2003), 1063-1070.
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Random walks on abelian-by-cyclic groups

Christophe Pittet; Laurent Saloff-Coste
Proc. Amer. Math. Soc. 131 (2003), 1071-1079.
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The short resolution of a lattice ideal

Pilar Pisón Casares
Proc. Amer. Math. Soc. 131 (2003), 1081-1091.
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Regularity of lex-segment ideals: Some closed formulas and applications

Marc Chardin; Guillermo Moreno-Socías
Proc. Amer. Math. Soc. 131 (2003), 1093-1102.
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Existence of $C^{\infty }$ local solutions of the complex Monge-Ampère equation

Saoussen Kallel-Jallouli
Proc. Amer. Math. Soc. 131 (2003), 1103-1108.
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A characterization of quasiconvex vector-valued functions

Joël Benoist; Jonathan M. Borwein; Nicolae Popovici
Proc. Amer. Math. Soc. 131 (2003), 1109-1113.
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A priori estimates for quasilinear degenerate parabolic equations

Maria Manfredini; Andrea Pascucci
Proc. Amer. Math. Soc. 131 (2003), 1115-1120.
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Borel subrings of the reals

G. A. Edgar; Chris Miller
Proc. Amer. Math. Soc. 131 (2003), 1121-1129.
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A local geometric characterization of the Bochner-Martinelli kernel

Michael Bolt
Proc. Amer. Math. Soc. 131 (2003), 1131-1136.
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Subsystems of the Walsh orthogonal system whose multiplicative completions are quasibases for $L^{p}[0,1]$, $1\leq p < +\infty $

M. G. Grigorian; Robert E. Zink
Proc. Amer. Math. Soc. 131 (2003), 1137-1149.
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Hardy's inequality and the boundary size

Pekka Koskela; Xiao Zhong
Proc. Amer. Math. Soc. 131 (2003), 1151-1158.
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Capacity estimates

David R. Adams; Ritva Hurri-Syrjänen
Proc. Amer. Math. Soc. 131 (2003), 1159-1167.
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On the regularized Whittaker-Kotel'nikov-Shannon sampling formula

Liwen Qian
Proc. Amer. Math. Soc. 131 (2003), 1169-1176.
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The rank of Hankel operators on harmonic Bergman spaces

Lova Zakariasy
Proc. Amer. Math. Soc. 131 (2003), 1177-1180.
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Strictly singular non-compact operators on hereditarily indecomposable Banach spaces

I. Gasparis
Proc. Amer. Math. Soc. 131 (2003), 1181-1189.
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Trace splittings in $C^*$-algebras of tiling systems via colourings

A. El Kacimi Alaoui; R. Parthasarathy
Proc. Amer. Math. Soc. 131 (2003), 1191-1204.
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Eigenvalue asymptotics of perturbed periodic Dirac systems in the slow-decay limit

Karl Michael Schmidt
Proc. Amer. Math. Soc. 131 (2003), 1205-1214.
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On the first two eigenvalues of Sturm-Liouville operators

Miklós Horváth
Proc. Amer. Math. Soc. 131 (2003), 1215-1224.
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A remark on quasi-isometries

N. J. Kalton
Proc. Amer. Math. Soc. 131 (2003), 1225-1231.
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Univalent mappings and invariant subspaces of the Bergman and Hardy spaces

Brent J. Carswell
Proc. Amer. Math. Soc. 131 (2003), 1233-1241.
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Ferenc Lukács type theorems in terms of the Abel-Poisson mean of conjugate series

Ferenc Móricz
Proc. Amer. Math. Soc. 131 (2003), 1243-1250.
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The alternative Dunford-Pettis property in $C^*$-algebras and von Neumann preduals

Leslie J. Bunce; Antonio M. Peralta
Proc. Amer. Math. Soc. 131 (2003), 1251-1255.
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BV estimates of Lax-Friedrichs' scheme for a class of nonlinear hyperbolic conservation laws

Tong Yang; Huijiang Zhao; Changjiang Zhu
Proc. Amer. Math. Soc. 131 (2003), 1257-1266.
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The Nevanlinna counting functions for Rudin's orthogonal functions

Takahiko Nakazi
Proc. Amer. Math. Soc. 131 (2003), 1267-1271.
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Ordered group invariants for nonorientable one-dimensional generalized solenoids

Inhyeop Yi
Proc. Amer. Math. Soc. 131 (2003), 1273-1282.
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A remark on the maximum principle and stochastic completeness

Stefano Pigola; Marco Rigoli; Alberto G. Setti
Proc. Amer. Math. Soc. 131 (2003), 1283-1288.
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Reflecting point-countable families

Zoltan T. Balogh
Proc. Amer. Math. Soc. 131 (2003), 1289-1296.
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Characterizations of paracompactness and Lindelöfness by the separation property

Yukinobu Yajima
Proc. Amer. Math. Soc. 131 (2003), 1297-1302.
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On the uniform hyperbolicity of some nonuniformly hyperbolic systems

José F. Alves; Vítor Araújo; Benoît Saussol
Proc. Amer. Math. Soc. 131 (2003), 1303-1309.
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Pseudocompact topological group refinements of maximal weight

W. W. Comfort; Jorge Galindo
Proc. Amer. Math. Soc. 131 (2003), 1311-1320.
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