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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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$L^{2}$ asymptotes for Fourier transforms of surface- carried measures
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by Stuart Nelson PDF
Proc. Amer. Math. Soc. 28 (1971), 134-136 Request permission

Abstract:

W. Littman has shown how to obtain asymptotic approximations for Fourier transforms of surface-carried measures of the form $\mu (X)dA$ where $dA$ represents the area measure for the surface as a subset of Euclidean space and $\mu (X)$ is a compactly supported ${C^\infty }$ function. Here we extend to the case where $\mu (X)$ is an ${L^2}$ function.
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Additional Information
  • © Copyright 1971 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 28 (1971), 134-136
  • MSC: Primary 42.25
  • DOI: https://doi.org/10.1090/S0002-9939-1971-0283491-0
  • MathSciNet review: 0283491