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Trudy Matematicheskogo Instituta im. V. A. Steklova, 1994, Volume 203, Pages 365–388 (Mi tm1344)  
Feynman integral formulae and fundamental solutions of decomposable evolution operators

N. Ortner, P. Wagner

Institute of Mathematics and Geometry University of Innsbruck, Austria
Full-text PDF (1916 kB)
Abstract: The fundamental solutions of products of quasihyperbolic partial differential operators are represented by definite integrals making use of generalized versions of Feynman's parametric integrals. The formulae deduced are applied to derive the fundamental solutions of products of transport, heat, and Klein–Gordon operators, respectively.
Keywords: fundamental solutions, hyperbolic partial differential operators, Klein–Gordon operators, heat diffusion, evolution operators.
Received in May 1993
Bibliographic databases:
UDC: 517.98
Language: English
Citation: N. Ortner, P. Wagner, “Feynman integral formulae and fundamental solutions of decomposable evolution operators”, Selected problems of mathematical physics and analysis, Collection of articles. To seventy birthday of Academician V. S. Vladimirov, Trudy Mat. Inst. Steklov., 203, Nauka, Moscow, 1994, 365–388; Proc. Steklov Inst. Math., 203 (1995), 305–322
Citation in format AMSBIB
\Bibitem{OrtWag94}
\by N.~Ortner, P.~Wagner
\paper Feynman integral formulae and fundamental solutions of decomposable evolution operators
\inbook Selected problems of mathematical physics and analysis
\bookinfo Collection of articles. To seventy birthday of Academician V. S. Vladimirov
\serial Trudy Mat. Inst. Steklov.
\yr 1994
\vol 203
\pages 365--388
\publ Nauka
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm1344}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1382616}
\zmath{https://zbmath.org/?q=an:0909.35031}
\transl
\jour Proc. Steklov Inst. Math.
\yr 1995
\vol 203
\pages 305--322
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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