Zobrazeno 1 - 10
of 175
pro vyhledávání: '"Engliš, Miroslav"'
Autor:
Blaschke, Petr, Engliš, Miroslav
We~prove uniqueness of the Moebius invariant semi-inner product on hyperbolic-harmonic functions on the unit ball of the real n-space, i.e. on functions annihilated by the hyperbolic Laplacian on the ball.
Comment: 11 pages, no figures
Comment: 11 pages, no figures
Externí odkaz:
http://arxiv.org/abs/2408.09611
We~describe a Dirichlet-type space of $H$-harmonic functions, i.e. functions annihilated by the hyperbolic Laplacian on~the unit ball of the real $n$-space, as~the analytic continuation (in~the spirit of Rossi and Vergne) of the corresponding weighte
Externí odkaz:
http://arxiv.org/abs/2404.07384
Autor:
Engliš, Miroslav, Youssfi, El-Hassan
We~describe the Dirichlet space of $M$-harmonic functions, i.e.~functions annihilated by the invariant Laplacian on~the unit ball of the complex $n$-space, as~the limit of the analytic continuation (in~the spirit of Rossi and Vergne) of the correspon
Externí odkaz:
http://arxiv.org/abs/2403.09003
We~identify the standard weighted Bergman kernels of spaces of nearly holomorphic functions, in~the sense of Shimura, on~bounded symmetric domains. This also yields a description of the analogous kernels for spaces of ``invariantly-polyanalytic'' fun
Externí odkaz:
http://arxiv.org/abs/2303.02256
Autor:
Englis, Miroslav, Youssfi, El-Hassan
Using the machinery of unitary spherical harmonics due to Koornwinder, Folland and other authors, we~obtain expansions for the Szeg\"o and the weighted Bergman kernels of $M$-harmonic functions, i.e.~functions annihilated by the invariant Laplacian o
Externí odkaz:
http://arxiv.org/abs/2208.07358
Publikováno v:
In Journal of Functional Analysis 15 January 2024 286(2)
Autor:
Engliš, Miroslav, Youssfi, El-Hassan
Publikováno v:
In Journal of Functional Analysis 1 January 2024 286(1)