On slice polyanalytic functions of a quaternionic variable

DOI10.1007/s00025-018-0942-2zbMath1426.30034arXiv1812.07018OpenAlexW2904106301WikidataQ128642074 ScholiaQ128642074MaRDI QIDQ1729904

Daniel Alpay, Kamal Diki, Irene Sabadini

Publication date: 28 February 2019

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.07018

zbMATH Keywords

Bergman spacesquaternionsFock spacesslice polyanalytic functions

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (15)

Slice regular weighted composition operators ⋮ Density of polyanalytic polynomials in complex and quaternionic polyanalytic weighted Bergman spaces ⋮ Harmonic and polyanalytic functional calculi on the \(S\)-spectrum for unbounded operators ⋮ Properties of a polyanalytic functional calculus on the S‐spectrum ⋮ Density of complex and quaternionic polyanalytic polynomials in polyanalytic Fock spaces ⋮ On a new characterization of the true-poly-analytic Bargmann spaces ⋮ On the polyanalytic short-time Fourier transform in the quaternionic setting ⋮ Approximation by convolution polyanalytic operators in the complex and quaternionic compact unit balls ⋮ S-polyregular Bargmann spaces ⋮ On the quaternionic short-time Fourier and Segal-Bargmann transforms ⋮ Correction to: ``On slice polyanalytic functions of a quaternionic variable ⋮ On a polyanalytic approach to noncommutative de Branges-Rovnyak spaces and Schur analysis ⋮ Composition operators on generalized Fock spaces of slice hyperholomorphic functions ⋮ Slice-by-slice and global smoothness of slice regular and polyanalytic functions ⋮ On the global operator and Fueter mapping theorem for slice polyanalytic functions

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• The Fock Space in the Slice Hyperholomorphic Setting
• On Two Approaches to the Bergman Theory for Slice Regular Functions
• Some properties for quaternionic slice regular functions on domains without real points
• An Advanced Complex Analysis Problem Book
• Function Spaces of Polyanalytic Functions

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