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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2024 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Harold Widom’s work in Toeplitz operators
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by Estelle Basor, Albrecht Böttcher and Torsten Ehrhardt;
Bull. Amer. Math. Soc. 59 (2022), 175-190
DOI: https://doi.org/10.1090/bull/1758
Published electronically: January 7, 2022

Abstract:

This is a survey of Harold Widom’s work in Toeplitz operators, embracing his early results on the invertibility and spectral theory of Toeplitz operators, his investigations of the eigenvalue distribution of convolution operators, and his groundbreaking research into Toeplitz and Wiener–Hopf determinants.
References
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Bibliographic Information
  • Estelle Basor
  • Affiliation: American Institute of Mathematics, 360 Portage Avenue, Palo Alto, California 94306
  • MR Author ID: 32255
  • ORCID: 0000-0003-2506-6463
  • Email: ebasor@aimath.org
  • Albrecht Böttcher
  • Affiliation: Fakultät für Mathematik, TU Chemnitz, 09107 Chemnitz, Germany
  • Email: aboettch@mathematik.tu-chemnitz.de
  • Torsten Ehrhardt
  • Affiliation: Mathematics Department, University of California, Santa Cruz, California 95064
  • MR Author ID: 349739
  • Email: tehrhard@ucsc.edu
  • Received by editor(s): September 9, 2021
  • Published electronically: January 7, 2022
  • © Copyright 2021 American Mathematical Society
  • Journal: Bull. Amer. Math. Soc. 59 (2022), 175-190
  • MSC (2020): Primary 47B35; Secondary 01A60, 15B05, 45E10
  • DOI: https://doi.org/10.1090/bull/1758
  • MathSciNet review: 4390498