An inequality in the theory of Fourier integrals

Author(s):  
K. I. Babenko
Keyword(s):  
1988 ◽  
pp. 146-171
Author(s):  
J. Von Neumann ◽  
I. J. Schoenberg

Author(s):  
Kusum Soni

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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