ON THE METHOD OF SPHERICAL HARMONICS FOR SUBHARMONIC FUNCTIONS

DOI10.1070/SM1983v044n02ABEH000957zbMath0502.31002OpenAlexW2060362934MaRDI QIDQ3967768

Andrii A. Kondratyuk

Publication date: 1983

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1983v044n02abeh000957

zbMATH Keywords

spherical harmonicsGegenbauer polynomialsFourier-Laplace seriesmethod of spherical harmonicsRiesz measurescompletely regular growthgrowth of subharmonic functions

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Series solutions to PDEs (35C10) Spherical harmonics (33C55) Nevanlinna theory; growth estimates; other inequalities of several complex variables (32A22) Plurisubharmonic functions and generalizations (32U05)

Related Items (2)

Zeros of holomorphic functions in the unit ball and subspherical functions ⋮ Uniqueness theorem and subharmonic test function

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