Mean approximation in Bergman spaces of polyanalytic functions

DOI10.1007/s13324-022-00671-zzbMath1486.30130OpenAlexW4220838925MaRDI QIDQ2119594

Ali Abkar

Publication date: 29 March 2022

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

Full work available at URL: https://doi.org/10.1007/s13324-022-00671-z

zbMATH Keywords

polyanalytic functionspoly-Bergman spaceapproximation by polyanalytic polynomialspoly-Besov spacepoly-Dirichlet space

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The polyanalytic Ginibre ensembles
• Asymptotic expansion of polyanalytic Bergman kernels
• On the structure of Bergman and poly-Bergman spaces
• Norm approximation by polynomials in some weighted Bergman spaces
• On the structure of spaces of polyanalytic functions
• Approximation in weighted analytic Besov spaces and in generalized Fock spaces
• Application of a Riesz-type formula to weighted Bergman spaces
• Function Spaces of Polyanalytic Functions
• On the completeness of systems of analytic functions
• Density of polynomials in certain weighted Dirichlet type spaces

This page was built for publication: Mean approximation in Bergman spaces of polyanalytic functions