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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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The Fourier transform of an unbounded spectral distribution
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by Brian Kritt
Proc. Amer. Math. Soc. 35 (1972), 74-80
DOI: https://doi.org/10.1090/S0002-9939-1972-0296731-X

Abstract:

The Fourier transform of an unbounded spectral distribution is studied: An explicit integral representation is obtained; connections are drawn to the associated generalized scalar operator. It is proved that every generalized pseudo-hermitian operator is the infinitesimal generator of a temperate ${C_0}$ group.
References
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Bibliographic Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 35 (1972), 74-80
  • MSC: Primary 47B40
  • DOI: https://doi.org/10.1090/S0002-9939-1972-0296731-X
  • MathSciNet review: 0296731