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Teoreticheskaya i Matematicheskaya Fizika, 1976, Volume 29, Number 3, Pages 336–346 (Mi tmf3469)  

This article is cited in 5 scientific papers (total in 5 papers)

Asymptotic expansions of generalized functions with singularities on the light cone

V. A. Smirnov
References:
Abstract: For generalized functions in $S'(R^m)$ an investigation is made of the asymptotic (as $t\to\infty$) expansion
$$\displaystyle F(x)e^{itnx}\sim\sum_{k=0}^\infty C_k(x,n)\psi_k(t,n)$$
as a function of the direction defined by a vector $n\in R^m$. Abelian theorems are proved for Lorentz invariant generalized functions and for generalized functions that have the properties characteristic of the electromagnetic form factors of deep inelastic scattering of electrons on protons. Asymptotic expansions are obtained for the generalized functions $(x^2\pm i0)^\lambda$, $\theta(\pm x_0)(x^2)_+^\lambda$, $(x^2)_-^\lambda$, $(-x^2\pm i0x_0)^\lambda$.
Received: 22.04.1976
English version:
Theoretical and Mathematical Physics, 1976, Volume 29, Issue 3, Pages 1108–1115
DOI: https://doi.org/10.1007/BF01028233
Bibliographic databases:
Language: Russian
Citation: V. A. Smirnov, “Asymptotic expansions of generalized functions with singularities on the light cone”, TMF, 29:3 (1976), 336–346; Theoret. and Math. Phys., 29:3 (1976), 1108–1115
Citation in format AMSBIB
\Bibitem{Smi76}
\by V.~A.~Smirnov
\paper Asymptotic expansions of generalized functions with singularities on the light cone
\jour TMF
\yr 1976
\vol 29
\issue 3
\pages 336--346
\mathnet{http://mi.mathnet.ru/tmf3469}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=452290}
\zmath{https://zbmath.org/?q=an:0342.46032}
\transl
\jour Theoret. and Math. Phys.
\yr 1976
\vol 29
\issue 3
\pages 1108--1115
\crossref{https://doi.org/10.1007/BF01028233}
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  • https://www.mathnet.ru/eng/tmf/v29/i3/p336
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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