Harmonic analysis in the schwartz distribution spaces and some applications to nonclassical problems of mathematical physics

Y. V. Zasorin

doi:10.1007/bf02675938

journal article Dec 01, 1997

Harmonic analysis in the schwartz distribution spaces and some applications to nonclassical problems of mathematical physics

Y. V. Zasorin

Siberian Mathematical Journal Vol. 38 No. 6 pp. 1112-1129 · Springer Science and Business Media LLC

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A. Schwartz, “An inversion theorem for Hankel transforms,” Proc. Amer. Math. Soc.,22, No. 3, 713–717 (1969). 10.2307/2037465

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I. A. Kipriyanov and V. I. Kononenko, “The fundamental solutions of certain singular partial differential equations,” Differential'nye Uravneniya,5, No. 8, 1470–1483 (1969).

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Yu. V. Zasorin, “Symmetry properties of the Fourier-Bessel transform,” in: Nonclassical Equations in Mathematical Physics [in Russian], Inst. Mat. (Novosibirsk), Novosibirsk, 1986, pp. 52–58.

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Yu. V. Zasorin, Generalized Solutions of a Certain Class of Hypoelliptic Equations with Singularity [in Russian], Dis. Kand. Fiz.-Mat. Nauk, Voronezh (1985).

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Yu. V. Zasorin, “The Helmholtz equation with an anisotropic source,” Dokl. Akad. Nauk SSSR,308, No. 1, 27–31 (1989).

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Yu. V. Zasorin, “A nonclassical boundary value problem for a three-dimensional viscous transonic equation,” Zh. Vychisl. Mat. i Mat. Fiz.35, No. 9, 1401–1419 (1995).

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Details

Published: Dec 01, 1997
Vol/Issue: 38(6)
Pages: 1112-1129
License: View

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Y. V. Zasorin

Cite This Article

Y. V. Zasorin (1997). Harmonic analysis in the schwartz distribution spaces and some applications to nonclassical problems of mathematical physics. Siberian Mathematical Journal, 38(6), 1112-1129. https://doi.org/10.1007/bf02675938

Harmonic analysis in the schwartz distribution spaces and some applications to nonclassical problems of mathematical physics

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