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)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On a Hill’s equation with double eigenvalues
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by Harry Hochstadt
Proc. Amer. Math. Soc. 65 (1977), 373-374
DOI: https://doi.org/10.1090/S0002-9939-1977-0445059-8

Abstract:

Let $\Delta (\lambda )$ be the discriminant of a Hill’s equation with a $\pi$-periodic potential $q(x)$. It is shown that if $2 + \Delta (\lambda )$ has only double zeros then $q(x)$ is necessarily $\pi /2$-periodic.
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Bibliographic Information
  • © Copyright 1977 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 65 (1977), 373-374
  • MSC: Primary 34B30
  • DOI: https://doi.org/10.1090/S0002-9939-1977-0445059-8
  • MathSciNet review: 0445059