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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Exponential bases on two dimensional trapezoids
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by Laura De Carli and Anudeep Kumar PDF
Proc. Amer. Math. Soc. 143 (2015), 2893-2903 Request permission

Abstract:

We discuss the existence and stability of Riesz bases of exponential type of $L^2(T)$ for special domains $T\subset \mathbb {R}^2$ called trapezoids, and we construct exponential bases on the finite union of rectangles with the same height. We also generalize our main theorems in dimension $d\ge 3$.
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Additional Information
  • Laura De Carli
  • Affiliation: Department of Mathematics, Florida International University, Miami, Florida 33199
  • MR Author ID: 334320
  • Email: decarlil@fiu.edu
  • Anudeep Kumar
  • Affiliation: Department of Mathematics, The George Washington University, Washington, DC 20052
  • Email: anudeep@email.gwu.edu
  • Received by editor(s): September 24, 2012
  • Received by editor(s) in revised form: June 19, 2013
  • Published electronically: March 11, 2015
  • Communicated by: Alexander Iosevich
  • © Copyright 2015 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 143 (2015), 2893-2903
  • MSC (2010): Primary 42C15, 42C30
  • DOI: https://doi.org/10.1090/S0002-9939-2015-12329-5
  • MathSciNet review: 3336614