On Polyanalytic Functions in Several Complex Variables

We give a characterisation of the polyanalytic type subspaces of the Hilbert spaces H , being the weighted L 2 function spaces on a connected simply connected domains D ⊂ C n . The typical examples considered in the paper are the unit ball B n and the whole space C n . Our approach is based on the...

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Bibliographic Details
Published in:	Complex analysis and operator theory Vol. 17; no. 6; p. 80
Main Author:	Vasilevski, Nikolai
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01.09.2023 Springer Nature B.V
Subjects:	Analysis Commutation Complex variables Domains Function space Higher Dimensional Geometric Function Theory and Hypercomplex Analysis Hilbert space Mathematics Mathematics and Statistics Operator Theory Operators (mathematics) Subspaces Poly-Bergman Poly-Vekua Extended Fock space construction 32A36 Primary 32A30 30H20 Poly-Fock
ISSN:	1661-8254, 1661-8262
Online Access:	Get full text
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