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 Zap. Nauchn. Sem. POMI, 2006, Volume 332, Pages 268–285 (Mi znsl273)

The heat equation on matrix space

S. P. Khekalo

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences

Abstract: The analog of the heat equation on space of real matrixes was studied. On the basis of properties of the heat source the solution of the heat equation with initial radiation which defined in vertex of the cone of positive definite symmetrical matrixes was constructed. The correlations between the Riesz potentials associated with composite power functions on matrix space and solutions of the heat equation were found.

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English version:
Journal of Mathematical Sciences (New York), 2007, 142:6, 2671–2681

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UDC: 517

Citation: S. P. Khekalo, “The heat equation on matrix space”, Mathematical problems in the theory of wave propagation. Part 35, Zap. Nauchn. Sem. POMI, 332, POMI, St. Petersburg, 2006, 268–285; J. Math. Sci. (N. Y.), 142:6 (2007), 2671–2681

Citation in format AMSBIB
\Bibitem{Khe06} \by S.~P.~Khekalo \paper The heat equation on matrix space \inbook Mathematical problems in the theory of wave propagation. Part~35 \serial Zap. Nauchn. Sem. POMI \yr 2006 \vol 332 \pages 268--285 \publ POMI \publaddr St.~Petersburg \mathnet{http://mi.mathnet.ru/znsl273} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=2252998} \zmath{https://zbmath.org/?q=an:1122.35041} \elib{http://elibrary.ru/item.asp?id=9172508} \transl \jour J. Math. Sci. (N. Y.) \yr 2007 \vol 142 \issue 6 \pages 2671--2681 \crossref{https://doi.org/10.1007/s10958-007-0154-x} \elib{http://elibrary.ru/item.asp?id=13563820} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34247264397}