On polyanalytic functions in several complex variables

DOI10.1007/s11785-023-01386-0zbMath1522.32015OpenAlexW4384342801MaRDI QIDQ6175662

Nikolai L. Vasilevski

Publication date: 24 July 2023

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

Full work available at URL: https://doi.org/10.1007/s11785-023-01386-0

zbMATH Keywords

Bergman spaceFock spacepolyanalytic functions

Mathematics Subject Classification ID

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) Bergman spaces and Fock spaces (30H20)

Cites Work

• Eigenvalue problems for the Schrödinger operator with the magnetic field on a compact Riemann manifold
• Yet another approach to poly-Bergman spaces
• Poly-analytic functions and representation theory
• Sarason's Toeplitz product problem for a class of Fock spaces
• Wold decomposition for doubly commuting isometries
• Inequalities for the beta function of n variables
• Radial Operators on Polyanalytic Bargmann–Segal–Fock Spaces
• On the polyanalytic and anti-polyanalytic function spaces
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