|
Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2013, Volume 10, Pages 649–655
(Mi semr457)
|
|
|
|
Real, complex and functional analysis
On convergence of series of homogeneous harmonic polynomials in $\mathbb R^n$
A. M. Kytmanov, O. V. Hodos Siberian Federal University, Krasnoyarsk
Abstract:
We consider domains of convergences of series of homogeneous harmonic polynomials. It is given asserions, which is analogous of theorems about domains of convergence of power series in $\mathbb C^n$.
Keywords:
harmonic polynomial, domain of convergence.
Received June 28, 2013, published December 14, 2013
Citation:
A. M. Kytmanov, O. V. Hodos, “On convergence of series of homogeneous harmonic polynomials in $\mathbb R^n$”, Sib. Èlektron. Mat. Izv., 10 (2013), 649–655
Linking options:
https://www.mathnet.ru/eng/semr457 https://www.mathnet.ru/eng/semr/v10/p649
|
Statistics & downloads: |
Abstract page: | 291 | Full-text PDF : | 86 | References: | 84 |
|