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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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Distributional derivation of an asymptotic expansion
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by R. Wong
Proc. Amer. Math. Soc. 80 (1980), 266-270
DOI: https://doi.org/10.1090/S0002-9939-1980-0577756-8
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Abstract:

An alternative derivation of the asymptotic expansion of multiple Fourier transforms is presented. The present approach is based on the use of distributions. With some modifications, this method can also be applied to other integral transforms with oscillatory kernels such as the Hankel transform.
References
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Bibliographic Information
  • © Copyright 1980 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 80 (1980), 266-270
  • MSC: Primary 46F12; Secondary 42B10
  • DOI: https://doi.org/10.1090/S0002-9939-1980-0577756-8
  • MathSciNet review: 577756