Relations of equations of Euler, Hermite and Weber via the heat equation

MR1245339 Miyake, Masatake Masatake MIYAKE Relations of equations of Euler, Hermite and Weber via the heat equation Funkcialaj Ekvacioj. Serio Internacia 36 1993 251--273 http://fe.math.kobe-u.ac.jp/FE/Free/vol36/fe36-2-3.pdf http://fe.math.kobe-u.ac.jp/FE/FE_pdf_with_bookmark/FE35-40-en_KML/fe36-251-273/fe36-251-273.pdf http://www.ams.org/mathscinet-getitem?mr=MR1245339 fe36-251-273 1993 Relations of Equations of Euler, Hermite and Weber via the Heat Equation MIYAKE, Masatake MIYAKE, Masatake

1 Aronszajn, N. Traces of analytic solutions of the heat equation Colloque International C.N.R.S. sur les equations aux derivees partielles lineaire, Asterisque 2-3 1973 35-68 MR0603290

2 Baouendi, M. S. Solvability of partial differential equations in the trace of analytic solutions of the heat equation Amer. Jour. Math. 97 1975 983-1005 MR0390464 Cache/Ba/Baouendi,Solvability,Amer*,1976,1977

3 Erdelyi, A. Higher Transcendental Functions, Vol. 2 McGraw-Hill, New York 1953 MR0058756 xxvi+302, xvii+396 4 Gelfand, I. M.; Shilov, G. E. Generalized Functions, Vol. 1 Academic Press, New York . London 1964 MR0435831 75 Cache/Ge/Gelfand,Functions,,*,1964,1965 xviii+423 5 Komatsu, H. Introduction to the theory of hyperfunctions Iwanami publ., Tokyo 1978 (in Japanese) 6 Miller, W. Jr. Symmetry and Separation of Variables Addison-Wesley Publishing Company, London-Amsterdam-Don Mills, Ontario-Sydney-Tokyo 1977 xxx+285 MR0460751 100 Cache/Mi/Miller,Separation,*,1977,1978

7 Miyake, M. Solvability of systems of ordinary differential equations in the space of Aronszajn and the determinant over the Weyl algebra Nagoya Math. J. 117 1990 207-225 MR1044941 100 Cache/Mi/Miyake,Solvability,Nagoya*,1990,1991

8 Schwartz, L. Theorie des distributions Herman, Paris 1966 MR0209834 100 Cache/Sc/Schwartz,distributions,*,1966,1967 xiii+420