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Matematicheskie Zametki, 1972, Volume 12, Issue 3, Pages 263–268 (Mi mzm9877)  
Cauchy and Pompey formulas for generalized analytic functions

Zh. A. Tokibetov

V. A. Steklov Mathematical Institute, Academy of Sciences of the USSR
Full-text PDF (605 kB)
Abstract: We use the apparatus of the theory of generalized functions by which we can define strictly the fundamental functional solution of an equation, thereby making it possible to obtain the Cauchy–Pompey formulas without any additional conditions on the behavior of solutions at infinity when the coefficients of the equation are constant. The kernels of these formulas are obtained in explicit form.
Received: 12.07.1971
English version:
Mathematical Notes, 1972, Volume 12, Issue 3, Pages 591–594
DOI: https://doi.org/10.1007/BF01093991
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: Zh. A. Tokibetov, “Cauchy and Pompey formulas for generalized analytic functions”, Mat. Zametki, 12:3 (1972), 263–268; Math. Notes, 12:3 (1972), 591–594
Citation in format AMSBIB
\Bibitem{Tok72}
\by Zh.~A.~Tokibetov
\paper Cauchy and Pompey formulas for generalized analytic functions
\jour Mat. Zametki
\yr 1972
\vol 12
\issue 3
\pages 263--268
\mathnet{http://mi.mathnet.ru/mzm9877}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=382669}
\zmath{https://zbmath.org/?q=an:0239.35042}
\transl
\jour Math. Notes
\yr 1972
\vol 12
\issue 3
\pages 591--594
\crossref{https://doi.org/10.1007/BF01093991}
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