Yu. A. Brychkov, “Asymptotic expansions of generalized functions. II”, TMF, 15:3 (1973), 375–381; Theoret. and Math. Phys., 15:3 (1973), 590

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Teoreticheskaya i Matematicheskaya Fizika, 1973, Volume 15, Number 3, Pages 375–381 (Mi tmf3677)

This article is cited in 3 scientific papers (total in 3 papers)

Asymptotic expansions of generalized functions. II

Yu. A. Brychkov

Full-text PDF (648 kB) Citations (3)

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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, Volume 15, Issue 3, Pages 590–594
DOI: https://doi.org/10.1007/BF01094566

Bibliographic databases:

Language: Russian

Citation: Yu. A. Brychkov, “Asymptotic expansions of generalized functions. II”, TMF, 15:3 (1973), 375–381; Theoret. and Math. Phys., 15:3 (1973), 590–594

Citation in format AMSBIB

\Bibitem{Bry73}

\by Yu.~A.~Brychkov

\paper Asymptotic expansions of generalized functions.~II

\jour TMF

\yr 1973

\vol 15

\issue 3

\pages 375--381

\mathnet{http://mi.mathnet.ru/tmf3677}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=477767}

\zmath{https://zbmath.org/?q=an:0273.41027}

\transl

\jour Theoret. and Math. Phys.

\yr 1973

\vol 15

\issue 3

\pages 590--594

\crossref{https://doi.org/10.1007/BF01094566}

Linking options:

https://www.mathnet.ru/eng/tmf3677

https://www.mathnet.ru/eng/tmf/v15/i3/p375

Cycle of papers

Asymptotic expansions of generalized functions. I
Yu. A. Brychkov
TMF, 1970, 5:1, 98–109
Asymptotic expansions of generalized functions. II
Yu. A. Brychkov
TMF, 1973, 15:3, 375–381
Asymptotic expansions of generalized functions. III
Yu. A. Brychkov
TMF, 1975, 23:2, 191–198

This publication is cited in the following 3 articles:

V. A. Smirnov, “Connection between the asymptotic behavior of electromagnetic form factors and the singularities of their Fourier transforms”, Theoret. and Math. Phys., 35:2 (1978), 455–458
V. A. Smirnov, “Asymptotic expansions of generalized functions with singularities on the light cone”, Theoret. and Math. Phys., 29:3 (1976), 1108–1115
Yu. A. Brychkov, “Asymptotic expansions of generalized functions. III”, Theoret. and Math. Phys., 23:2 (1975), 445–450

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	405
Full-text PDF :	181
References:	62
First page:	1

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