Density of complex and quaternionic polyanalytic polynomials in polyanalytic Fock spaces

DOI10.1007/s11785-023-01460-7OpenAlexW4389388702MaRDI QIDQ6186081

Publication date: 9 January 2024

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

Full work available at URL: https://doi.org/10.1007/s11785-023-01460-7

zbMATH Keywords

approximation polyanalytic functions slice regular functions polyanalytic polynomials

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Approximation in the complex plane (30E10)

Cites Work

Density of certain polynomial modules
$C^m$-approximation by polyanalytic polynomials on compact subsets of the complex plane
Approximation in compact balls by convolution operators of quaternion and paravector variable
New conditions for uniform approximation by polyanalytic polynomials
Superframes and polyanalytic wavelets
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Super-wavelets versus poly-Bergman spaces
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Correction to: ``On slice polyanalytic functions of a quaternionic variable
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Entire Slice Regular Functions
Analysis on Fock Spaces
Regular Functions of a Quaternionic Variable
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Approximation by polynomials on quaternionic compact sets
Quaternionic Approximation
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Conditions for $ C^m$-approximability of functions by solutions of elliptic equations
On the global operator and Fueter mapping theorem for slice polyanalytic functions
Function Spaces of Polyanalytic Functions
Uniform approximation of functions continuous on a compact subset of $\mathbb{C}$ and analytic in its interior by functions bianalytic in its neighborhoods
Density of polyanalytic polynomials in complex and quaternionic polyanalytic weighted Bergman spaces
Hörmander's $L^2$-method, $\overline{\partial}$-problem and polyanalytic function theory in one complex variable
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