Asymptotic expansions for a class of Fourier integrals and applications to the Pompeiu problem

1991 ◽  
Vol 56 (1) ◽  
pp. 1-28 ◽  
Author(s):  
Nicola Garofalo ◽  
Fausto Segala
Keyword(s):  
Asymptotic Expansions ◽  
Pompeiu Problem ◽  
Fourier Integrals

On uniform asymptotic expansions of finite Laplace and Fourier integrals

1980 ◽  
Vol 85 (3-4) ◽  
pp. 299-305 ◽  
Author(s):  
Kusum Soni
Keyword(s):  
Asymptotic Expansion ◽  
Asymptotic Expansions ◽  
Fourier Integral ◽  
Uniform Asymptotic Expansion ◽  
Laplace Integrals ◽  
Uniform Asymptotic Expansions ◽  
Fourier Integrals

SynopsisA uniform asymptotic expansion of the Laplace integrals ℒ(f, s) with explicit remainder terms is given. This expansion is valid in the whole complex s−plane. In particular, for s = −ix, it provides the Fourier integral expansion.

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