Asymptotic expansions of some integral transforms by using generalized functions
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- by Ahmed I. Zayed PDF
- Trans. Amer. Math. Soc. 272 (1982), 785-802 Request permission
Abstract:
The technique devised by Wong to derive the asymptotic expansions of multiple Fourier transforms by using the theory of Schwartz distributions is extended to a large class of integral transforms. The extension requires establishing a general procedure to extend these integral transforms to generalized functions. Wong’s technique is then applied to some of these integral transforms to obtain their asymptotic expansions. This class of integral transforms encompasses, among others, the Laplace, the Airy, the $K$ and the Hankel transforms.References
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Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 272 (1982), 785-802
- MSC: Primary 41A60; Secondary 44A05, 46F12
- DOI: https://doi.org/10.1090/S0002-9947-1982-0662067-9
- MathSciNet review: 662067