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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive

Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2025 Volume 245, Pages 38–43 (Mi into1390)

On one case of the fundamental solution of the $K$-polyharmonic operator

E. A. Gryazneva

Lipetsk State Pedagogical University

Abstract: In this paper we obtain the fundamental solution of the polyharmonic Kipriyanov operator $\Delta_{B_{-\gamma}}^m$ with negative parameters of Bessel operators $(-1<-\gamma_i<0)$, where $m$ is a natural number.

Keywords: fundamental solution, Bessel singular differential operator, Kipriyanov operator, linear form, Schwartz space, test function, generalized function, radial function

UDC: 517.95

MSC: 34Lxx

DOI: 10.36535/2782-4438-2025-245-38-43



© Steklov Math. Inst. of RAS, 2025