Contents of Volume 131, Number 4

All articles in this issue are freely accessible.

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Polynomial Pell’s equation

William A. Webb and Hisashi Yokota.
Proc. Amer. Math. Soc. 131 (2003), 993-1006
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MathSciNet review: 1948087

Inverse limits of algebras as retracts of their direct products

A. Laradji.
Proc. Amer. Math. Soc. 131 (2003), 1007-1010
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MathSciNet review: 1948088

Finiteness of representation dimension

Osamu Iyama.
Proc. Amer. Math. Soc. 131 (2003), 1011-1014
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MathSciNet review: 1948089

Reduction numbers and initial ideals

Aldo Conca.
Proc. Amer. Math. Soc. 131 (2003), 1015-1020
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MathSciNet review: 1948090

Fuchs’ problem 34 for mixed Abelian groups

Ulrich Albrecht.
Proc. Amer. Math. Soc. 131 (2003), 1021-1029
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MathSciNet review: 1948091

On functions whose graph is a Hamel basis

Krzysztof Plotka.
Proc. Amer. Math. Soc. 131 (2003), 1031-1041
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MathSciNet review: 1948092

On a theorem of R. Steinberg on rings of coinvariants

Larry Smith.
Proc. Amer. Math. Soc. 131 (2003), 1043-1048
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MathSciNet review: 1948093

Factorization of monic polynomials

William J. Heinzer and David C. Lantz.
Proc. Amer. Math. Soc. 131 (2003), 1049-1052
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MathSciNet review: 1948094

Catalan paths and quasi-symmetric functions

J.-C. Aval and N. Bergeron.
Proc. Amer. Math. Soc. 131 (2003), 1053-1062
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MathSciNet review: 1948095

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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MathSciNet review: 1948096

Random walks on abelian-by-cyclic groups

Christophe Pittet and Laurent Saloff-Coste.
Proc. Amer. Math. Soc. 131 (2003), 1071-1079
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MathSciNet review: 1948097

The short resolution of a lattice ideal

Pilar Pisón Casares.
Proc. Amer. Math. Soc. 131 (2003), 1081-1091
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MathSciNet review: 1948098

Regularity of lex-segment ideals: Some closed formulas and applications

Marc Chardin and Guillermo Moreno-Socías.
Proc. Amer. Math. Soc. 131 (2003), 1093-1102
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MathSciNet review: 1948099

Existence of $C^{{}∞}$ local solutions of the complex Monge-Ampère equation

Saoussen Kallel-Jallouli.
Proc. Amer. Math. Soc. 131 (2003), 1103-1108
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MathSciNet review: 1948100

A characterization of quasiconvex vector-valued functions

Joël Benoist, Jonathan M. Borwein and Nicolae Popovici.
Proc. Amer. Math. Soc. 131 (2003), 1109-1113
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MathSciNet review: 1948101

A priori estimates for quasilinear degenerate parabolic equations

Maria Manfredini and Andrea Pascucci.
Proc. Amer. Math. Soc. 131 (2003), 1115-1120
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MathSciNet review: 1948102

Borel subrings of the reals

G. A. Edgar and Chris Miller.
Proc. Amer. Math. Soc. 131 (2003), 1121-1129
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MathSciNet review: 1948103

A local geometric characterization of the Bochner-Martinelli kernel

Michael Bolt.
Proc. Amer. Math. Soc. 131 (2003), 1131-1136
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MathSciNet review: 1948104

Subsystems of the Walsh orthogonal system whose multiplicative completions are quasibases for $L^{{}p}[0,1]$, $1≤p < +∞$

M. G. Grigorian and Robert E. Zink.
Proc. Amer. Math. Soc. 131 (2003), 1137-1149
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MathSciNet review: 1948105

Hardy’s inequality and the boundary size

Pekka Koskela and Xiao Zhong.
Proc. Amer. Math. Soc. 131 (2003), 1151-1158
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MathSciNet review: 1948106

Capacity estimates

David R. Adams and Ritva Hurri-Syrjänen.
Proc. Amer. Math. Soc. 131 (2003), 1159-1167
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MathSciNet review: 1948107

On the regularized Whittaker-Kotel’nikov-Shannon sampling formula

Liwen Qian.
Proc. Amer. Math. Soc. 131 (2003), 1169-1176
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MathSciNet review: 1948108

The rank of Hankel operators on harmonic Bergman spaces

Lova Zakariasy.
Proc. Amer. Math. Soc. 131 (2003), 1177-1180
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MathSciNet review: 1948109

Strictly singular non-compact operators on hereditarily indecomposable Banach spaces

I. Gasparis.
Proc. Amer. Math. Soc. 131 (2003), 1181-1189
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MathSciNet review: 1948110

Trace splittings in $C^{*}$-algebras of tiling systems via colourings

A. El Kacimi Alaoui and R. Parthasarathy.
Proc. Amer. Math. Soc. 131 (2003), 1191-1204
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MathSciNet review: 1948111

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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MathSciNet review: 1948112

On the first two eigenvalues of Sturm-Liouville operators

Miklós Horváth.
Proc. Amer. Math. Soc. 131 (2003), 1215-1224
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MathSciNet review: 1948113

A remark on quasi-isometries

N. J. Kalton.
Proc. Amer. Math. Soc. 131 (2003), 1225-1231
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MathSciNet review: 1948114

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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MathSciNet review: 1948115

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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MathSciNet review: 1948116

The alternative Dunford-Pettis property in $C^{*}$-algebras and von Neumann preduals

Leslie J. Bunce and Antonio M. Peralta.
Proc. Amer. Math. Soc. 131 (2003), 1251-1255
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MathSciNet review: 1948117

BV estimates of Lax-Friedrichs’ scheme for a class of nonlinear hyperbolic conservation laws

Tong Yang, Huijiang Zhao and Changjiang Zhu.
Proc. Amer. Math. Soc. 131 (2003), 1257-1266
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MathSciNet review: 1948118

The Nevanlinna counting functions for Rudin’s orthogonal functions

Takahiko Nakazi.
Proc. Amer. Math. Soc. 131 (2003), 1267-1271
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MathSciNet review: 1948119

Ordered group invariants for nonorientable one-dimensional generalized solenoids

Inhyeop Yi.
Proc. Amer. Math. Soc. 131 (2003), 1273-1282
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MathSciNet review: 1948120

A remark on the maximum principle and stochastic completeness

Stefano Pigola, Marco Rigoli and Alberto G. Setti.
Proc. Amer. Math. Soc. 131 (2003), 1283-1288
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MathSciNet review: 1948121

Reflecting point-countable families

Zoltan T. Balogh.
Proc. Amer. Math. Soc. 131 (2003), 1289-1296
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MathSciNet review: 1948122

Characterizations of paracompactness and Lindelöfness by the separation property

Yukinobu Yajima.
Proc. Amer. Math. Soc. 131 (2003), 1297-1302
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MathSciNet review: 1948123

On the uniform hyperbolicity of some nonuniformly hyperbolic systems

José F. Alves, Vítor Araújo and Benoît Saussol.
Proc. Amer. Math. Soc. 131 (2003), 1303-1309
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MathSciNet review: 1948124

Pseudocompact topological group refinements of maximal weight

W. W. Comfort and Jorge Galindo.
Proc. Amer. Math. Soc. 131 (2003), 1311-1320
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MathSciNet review: 1948125