2024
M-harmonic reproducing kernels on the ball
ENGLIŠ, Miroslav and El-Hassan YOUSSFIBasic information
Original name
M-harmonic reproducing kernels on the ball
Authors
ENGLIŠ, Miroslav (203 Czech Republic, belonging to the institution) and El-Hassan YOUSSFI (250 France, guarantor)
Edition
Journal of Functional Analysis, San Diego (USA), Academic Press Inc. Elsevier Science, 2024, 0022-1236
Other information
Language
English
Type of outcome
Article in a journal
Field of Study
10101 Pure mathematics
Country of publisher
United States of America
Confidentiality degree
is not subject to a state or trade secret
References:
Impact factor
Impact factor: 1.600
RIV identification code
RIV/47813059:19610/24:A0000151
Organization unit
Mathematical Institute in Opava
UT WoS
001099697500001
EID Scopus
2-s2.0-85173266519
Keywords in English
M-harmonic function; Invariant Laplacian; Bergman kernel; Szegö kernel
Tags
International impact, Reviewed
Links
GA21-27941S, research and development project.
Changed: 5/3/2025 14:38, Mgr. Aleš Ryšavý
Abstract
In the original language
Using the machinery of unitary spherical harmonics due to Koornwinder, Folland and other authors, we obtain expansions for the Szegö and the weighted Bergman kernels of M-harmonic functions, i.e. functions annihilated by the invariant Laplacian on the unit ball of the complex n-space. This yields, among others, an explicit formula for the M-harmonic Szegö kernel in terms of multivariable as well as single-variable hypergeometric functions, and also shows that most likely there is no explicit (“closed”) formula for the corresponding weighted Bergman kernels.