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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 1973 Volume 15, Number 3, Pages 375–381 (Mi tmf3677)

This article is cited in 3 papers

Asymptotic expansions of generalized functions. II

Yu. A. Brychkov


Abstract: Asymptotic expansions are obtained for certain classes of generalized functions of the form $f(x)e^{ixt}$, $t\to\pm\infty$ where $f(x)$ has an even number of pole or branch-point type singularities. Examples are given of application to the calculation of the asymptotic behavior of Fourier integrals.

Received: 12.04.1972


 English version:
Theoretical and Mathematical Physics, 1973, 15:3, 590–594

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