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Proceedings of the American Mathematical Society

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Distributional derivation of an asymptotic expansion

Author: R. Wong
Journal: Proc. Amer. Math. Soc. 80 (1980), 266-270
MSC: Primary 46F12; Secondary 42B10
MathSciNet review: 577756
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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.

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Keywords: Asymptotic expansions, distribution, Fourier transform
Article copyright: © Copyright 1980 American Mathematical Society

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