Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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Contents of Volume 130, Number 9
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On the number of Fourier coefficients that determine a Hilbert modular form: Srinath Baba, Kalyan Chakraborty and Yiannis N. Petridis; Proc. Amer. Math. Soc. 130 (2002), 2497-2502; DOI: https://doi.org/10.1090/S0002-9939-02-06609-1; Published electronically: April 17, 2002; PDF

Consecutive numbers with the same Legendre symbol: Zhi-Hong Sun; Proc. Amer. Math. Soc. 130 (2002), 2503-2507; DOI: https://doi.org/10.1090/S0002-9939-02-06600-5; Published electronically: April 17, 2002; PDF

On the chromatic number of Kneser hypergraphs: Jiří Matoušek; Proc. Amer. Math. Soc. 130 (2002), 2509-2514; DOI: https://doi.org/10.1090/S0002-9939-02-06371-2; Published electronically: January 23, 2002; PDF

General blow-ups of the projective plane: Tomasz Szemberg and Halszka Tutaj-Gasińska; Proc. Amer. Math. Soc. 130 (2002), 2515-2524; DOI: https://doi.org/10.1090/S0002-9939-02-06488-2; Published electronically: April 22, 2002; PDF

A proof of Pieri’s formula using the generalized Schensted insertion algorithm for rc-graphs: Mikhail Kogan and Abhinav Kumar; Proc. Amer. Math. Soc. 130 (2002), 2525-2534; DOI: https://doi.org/10.1090/S0002-9939-02-06366-9; Published electronically: February 4, 2002; PDF

A note on the defining equations of singular varieties: Seunghun Lee; Proc. Amer. Math. Soc. 130 (2002), 2535-2541; DOI: https://doi.org/10.1090/S0002-9939-02-06478-X; Published electronically: April 10, 2002; PDF

Peirce gradings of Jordan systems: José A. Anquela and Teresa Cortés; Proc. Amer. Math. Soc. 130 (2002), 2543-2551; DOI: https://doi.org/10.1090/S0002-9939-02-06346-3; Published electronically: March 12, 2002; PDF

Character degree sets that do not bound the class of a $p$-group: I. M. Isaacs and M. C. Slattery; Proc. Amer. Math. Soc. 130 (2002), 2553-2558; DOI: https://doi.org/10.1090/S0002-9939-02-06364-5; Published electronically: February 4, 2002; PDF

One sided ideals and Carlson’s Theorem: Neil Hindman and Randall McCutcheon; Proc. Amer. Math. Soc. 130 (2002), 2559-2567; DOI: https://doi.org/10.1090/S0002-9939-02-06396-7; Published electronically: March 12, 2002; PDF

Local indicability in ordered groups: Braids and elementary amenable groups: Akbar Rhemtulla and Dale Rolfsen; Proc. Amer. Math. Soc. 130 (2002), 2569-2577; DOI: https://doi.org/10.1090/S0002-9939-02-06413-4; Published electronically: February 12, 2002; PDF

Parabolic subgroups of Vershik-Kerov’s group: Waldemar Hołubowski; Proc. Amer. Math. Soc. 130 (2002), 2579-2582; DOI: https://doi.org/10.1090/S0002-9939-02-06397-9; Published electronically: March 15, 2002; PDF

McMullen’s root-finding algorithm for cubic polynomials: Jane M. Hawkins; Proc. Amer. Math. Soc. 130 (2002), 2583-2592; DOI: https://doi.org/10.1090/S0002-9939-02-06659-5; Published electronically: April 22, 2002; PDF

Chebyshev centres and centrable sets: T. S. S. R. K. Rao; Proc. Amer. Math. Soc. 130 (2002), 2593-2598; DOI: https://doi.org/10.1090/S0002-9939-02-06624-8; Published electronically: April 17, 2002; PDF

A note on Besov regularity of layer potentials and solutions of elliptic PDE’s: Marius Mitrea; Proc. Amer. Math. Soc. 130 (2002), 2599-2607; DOI: https://doi.org/10.1090/S0002-9939-02-06551-6; Published electronically: April 17, 2002; PDF

Finite unions of interpolation sequences: Peter Duren and Alexander P. Schuster; Proc. Amer. Math. Soc. 130 (2002), 2609-2615; DOI: https://doi.org/10.1090/S0002-9939-02-06356-6; Published electronically: February 4, 2002; PDF

A Fejér type theorem to determine jumps in terms of the Abel-Poisson mean of double Fourier series: Mónika Bagota and Ferenc Móricz; Proc. Amer. Math. Soc. 130 (2002), 2617-2623; DOI: https://doi.org/10.1090/S0002-9939-02-06347-5; Published electronically: March 25, 2002; PDF

On the periodic points of functions on a manifold: Chung-wu Ho; Proc. Amer. Math. Soc. 130 (2002), 2625-2630; DOI: https://doi.org/10.1090/S0002-9939-02-06361-X; Published electronically: February 12, 2002; PDF

Reducing subspaces of weighted shift operators: Michael Stessin and Kehe Zhu; Proc. Amer. Math. Soc. 130 (2002), 2631-2639; DOI: https://doi.org/10.1090/S0002-9939-02-06382-7; Published electronically: February 12, 2002; PDF

Locally finite dimensional shift-invariant spaces in $\mathbf {R}^d$: Akram Aldroubi and Qiyu Sun; Proc. Amer. Math. Soc. 130 (2002), 2641-2654; DOI: https://doi.org/10.1090/S0002-9939-02-06423-7; Published electronically: February 12, 2002; PDF

A Fefferman-Poincaré type inequality for Carnot-Carathéodory vector fields: Giuseppe Di Fazio and Pietro Zamboni; Proc. Amer. Math. Soc. 130 (2002), 2655-2660; DOI: https://doi.org/10.1090/S0002-9939-02-06394-3; Published electronically: February 4, 2002; PDF

Compactly bounded convolutions of measures: Adam W. Parr; Proc. Amer. Math. Soc. 130 (2002), 2661-2667; DOI: https://doi.org/10.1090/S0002-9939-02-06513-9; Published electronically: March 13, 2002; PDF

Operator Hilbert spaces without the operator approximation property: Alvaro Arias; Proc. Amer. Math. Soc. 130 (2002), 2669-2677; DOI: https://doi.org/10.1090/S0002-9939-02-06387-6; Published electronically: March 13, 2002; PDF

Anti-Wick quantization with symbols in $L^p$ spaces: Paolo Boggiatto and Elena Cordero; Proc. Amer. Math. Soc. 130 (2002), 2679-2685; DOI: https://doi.org/10.1090/S0002-9939-02-06348-7; Published electronically: February 4, 2002; PDF

On images of Borel measures under Borel mappings: Dimitris Gatzouras; Proc. Amer. Math. Soc. 130 (2002), 2687-2699; DOI: https://doi.org/10.1090/S0002-9939-02-06434-1; Published electronically: March 29, 2002; PDF

Operators which have a closed quasi-nilpotent part: Pietro Aiena, Maria Luisa Colasante and Manuel González; Proc. Amer. Math. Soc. 130 (2002), 2701-2710; DOI: https://doi.org/10.1090/S0002-9939-02-06386-4; Published electronically: March 12, 2002; PDF

Fourier asymptotics of Cantor type measures at infinity: Tian-You Hu and Ka-Sing Lau; Proc. Amer. Math. Soc. 130 (2002), 2711-2717; DOI: https://doi.org/10.1090/S0002-9939-02-06398-0; Published electronically: April 17, 2002; PDF

Global existence from single-component $L_{p}$ estimates in a semilinear reaction-diffusion system: Pavol Quittner and Philippe Souplet; Proc. Amer. Math. Soc. 130 (2002), 2719-2724; DOI: https://doi.org/10.1090/S0002-9939-02-06453-5; Published electronically: February 4, 2002; PDF

A new flow on starlike curves in $\mathbb {R}^3$: Rongpei Huang and David A. Singer; Proc. Amer. Math. Soc. 130 (2002), 2725-2735; DOI: https://doi.org/10.1090/S0002-9939-02-06631-5; Published electronically: April 11, 2002; PDF

Morse theory, Milnor fibers and minimality of hyperplane arrangements: Richard Randell; Proc. Amer. Math. Soc. 130 (2002), 2737-2743; DOI: https://doi.org/10.1090/S0002-9939-02-06412-2; Published electronically: February 4, 2002; PDF

The standard double bubble is the unique stable double bubble in $\mathbf {R}^2$: Frank Morgan and Wacharin Wichiramala; Proc. Amer. Math. Soc. 130 (2002), 2745-2751; DOI: https://doi.org/10.1090/S0002-9939-02-06640-6; Published electronically: April 17, 2002; PDF

Open colorings, the continuum and the second uncountable cardinal: Justin Tatch Moore; Proc. Amer. Math. Soc. 130 (2002), 2753-2759; DOI: https://doi.org/10.1090/S0002-9939-02-06376-1; Published electronically: February 12, 2002; PDF

Asymptotic behavior of roots of random polynomial equations: Efraim Shmerling and Kenneth J. Hochberg; Proc. Amer. Math. Soc. 130 (2002), 2761-2770; DOI: https://doi.org/10.1090/S0002-9939-02-06340-2; Published electronically: March 13, 2002; PDF

On possible non-homeomorphic substructures of the real line: P. D. Welch; Proc. Amer. Math. Soc. 130 (2002), 2771-2775; DOI: https://doi.org/10.1090/S0002-9939-02-06385-2; Published electronically: February 12, 2002; PDF

A Lindelöf space with no Lindelöf subspace of size $\aleph _1$: Piotr Koszmider and Franklin D. Tall; Proc. Amer. Math. Soc. 130 (2002), 2777-2787; DOI: https://doi.org/10.1090/S0002-9939-02-06367-0; Published electronically: March 13, 2002; PDF

On hereditarily indecomposable continua, Henderson compacta and a question of Yohe: Elżbieta Pol; Proc. Amer. Math. Soc. 130 (2002), 2789-2795; DOI: https://doi.org/10.1090/S0002-9939-02-06378-5; Published electronically: February 4, 2002; PDF

Anti-symplectic involutions with lagrangian fixed loci and their quotients: Yong Seung Cho and Dosang Joe; Proc. Amer. Math. Soc. 130 (2002), 2797-2801; DOI: https://doi.org/10.1090/S0002-9939-02-06391-8; Published electronically: February 4, 2002; PDF

Toroidal surgeries on hyperbolic knots: Masakazu Teragaito; Proc. Amer. Math. Soc. 130 (2002), 2803-2808; DOI: https://doi.org/10.1090/S0002-9939-02-06420-1; Published electronically: February 4, 2002; PDF

Erratum to “A relation between Hochschild homology and cohomology for Gorenstein rings”: Michel van den Bergh; Proc. Amer. Math. Soc. 130 (2002), 2809-2810; DOI: https://doi.org/10.1090/S0002-9939-02-06684-4; Published electronically: April 16, 2002; PDF