Homogeneously polyanalytic kernels on the unit ball and the Siegel domain

DOI10.1007/s11785-021-01145-zzbMath1477.32008arXiv2102.01235OpenAlexW3187153404MaRDI QIDQ1981890

Gerardo Ramos-Vazquez, Christian Rene Leal-Pacheco, Egor A. Maksimenko

Publication date: 7 September 2021

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.01235

zbMATH Keywords

reproducing kernelpolyanalytic function of several variables

Mathematics Subject Classification ID

Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Bergman spaces of functions in several complex variables (32A36) Other generalizations of function theory of one complex variable (32A30) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20)

Related Items

Polyanalytic reproducing kernels in \(\mathbb{C}^n\) ⋮ Translation-invariant operators in reproducing kernel Hilbert spaces ⋮ Weighted Bergman spaces associated with the hyperbolic group ⋮ Poly-analytic functions and representation theory ⋮ Toeplitz operators with Lagrangian invariant symbols acting on the poly-Fock space of \(\mathbb{C}^n\)

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