Hörmander’s L2-Method, ∂¯-Problem and Polyanalytic Function Theory in One Complex Variable

In this paper we consider the classical ∂ ¯ -problem in the case of one complex variable both for analytic and polyanalytic data. We apply the decomposition property of polyanalytic functions in order to construct particular solutions of this problem and obtain new Hörmander type estimates using sui...

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Bibliographic Details
Published in:	Complex analysis and operator theory Vol. 17; no. 3; p. 41
Main Authors:	Alpay, Daniel, Colombo, Fabrizio, Diki, Kamal, Sabadini, Irene, Struppa, Daniele C.
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01.04.2023 Springer Nature B.V
Subjects:	Analysis Complex variables Decomposition Fourier transforms Hermite polynomials Mathematics Mathematics and Statistics Operator Theory Operators (mathematics) Variables 44A15 Functions of exponential type Fock space problem 46E22 Polyanalytic functions spaces 30H20 Hörmander’s estimate
ISSN:	1661-8254, 1661-8262
Online Access:	Get full text
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