Holomorphic Hermite polynomials in two variables

DOI10.1016/j.jmaa.2018.10.024zbMath1404.32015arXiv1706.04491OpenAlexW2963532715WikidataQ116677392 ScholiaQ116677392MaRDI QIDQ1630597

Franciszek Hugon Szafraniec, Andrzej Horzela, Katarzyna Górska

Publication date: 10 December 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.04491

zbMATH Keywords

reproducing kernel Hilbert spaceHermite polynomials in two complex variables

Mathematics Subject Classification ID

Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Holomorphic functions of several complex variables (32A99)

Related Items

Multivariate holomorphic Hermite polynomials, Bivariate poly-analytic Hermite polynomials, Miscellaneous properties for a class of complex functions defined by Rodrigues type formula, Two-dimensional \((p, q)\)-heat polynomials of Gould-Hopper type, Holomorphic Hermite functions in Segal-Bargmann spaces, Mathematical work of Franciszek Hugon Szafraniec and its impacts

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