Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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Isospectral potentials on a discrete lattice. III
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by Thomas Kappeler
Trans. Amer. Math. Soc. 314 (1989), 815-824
DOI: https://doi.org/10.1090/S0002-9947-1989-0961624-6

Abstract:

Continuing prior work of the author, spectral problems for a discretized version of the Schrödinger equation ’Laplacian plus potential’ on the torus are considered. Spectral invariants are constructed and with their help isospectral sets of certain nongeneric potentials are determined.
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Bibliographic Information
  • © Copyright 1989 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 314 (1989), 815-824
  • MSC: Primary 39A12; Secondary 35P05, 35Q20, 47B39, 58G25, 81C05
  • DOI: https://doi.org/10.1090/S0002-9947-1989-0961624-6
  • MathSciNet review: 961624