M-harmonic reproducing kernels on the ball

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F24%3A00577235" target="_blank" >RIV/67985840:_____/24:00577235 - isvavai.cz</a>
Alternative codes found
RIV/47813059:19610/24:A0000151
Result on the web
<a href="https://doi.org/10.1016/j.jfa.2023.110187" target="_blank" >https://doi.org/10.1016/j.jfa.2023.110187</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jfa.2023.110187" target="_blank" >10.1016/j.jfa.2023.110187</a>

Result language
angličtina
Original language name
M-harmonic reproducing kernels on the ball
Original language description
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.
Czech name
—
Czech description
—

Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA21-27941S" target="_blank" >GA21-27941S: Function theory and related operators on complex domains</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)