On slice biregular functions and isomorphisms of Bergman spaces

DOI10.1080/17476933.2011.627441zbMath1251.30055OpenAlexW2117376914MaRDI QIDQ3167677

Fabrizio Colombo, Irene Sabadini, José Óscar González-Cervantes

Publication date: 2 November 2012

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2011.627441

zbMATH Keywords

Bergman spacesslice regular functions

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Bergman spaces of functions in several complex variables (32A36)

Related Items (17)

Composition operators in Bloch spaces of slice hyperholomorphic functions ⋮ Generalized Appell polynomials and Fueter–Bargmann transforms in the polyanalytic setting ⋮ Slice Lebesgue measure of quaternions ⋮ Quaternionic slice regular functions with some sphere bundles ⋮ On some quaternionic generalized slice regular functions ⋮ Univalence results for slice regular functions of a quaternion variable ⋮ On some geometric properties of slice regular functions of a quaternion variable ⋮ On dual transform of fractional Hankel transform ⋮ The Fueter-Sce mapping and the Clifford–Appell polynomials ⋮ On some quaternionic series ⋮ Slice Regular Functions on Regular Quadratic Cones of Real Alternative Algebras ⋮ Bloch, Besov and Dirichlet spaces of slice hyperholomorphic functions ⋮ Unnamed Item ⋮ S-polyregular Bargmann spaces ⋮ Schatten class and Berezin transform of quaternionic linear operators ⋮ On the global operator and Fueter mapping theorem for slice polyanalytic functions ⋮ Quaternionic Fock space on slice hyperholomorphic functions

Cites Work

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• Slice regular functions on real alternative algebras
• Noncommutative functional calculus. Theory and applications of slice hyperholomorphic functions
• On the Bergmann kernel function in hyperholomorphic analysis
• The Cauchy formula with s-monogenic kernel and a functional calculus for noncommuting operators
• Extension results for slice regular functions of a quaternionic variable
• On some categories and functors in the theory of quaternionic Bergman spaces
• Slice monogenic functions
• The Bergman and Szegö kernels for separately monogenic functions
• A Cauchy kernel for slice regular functions
• On some properties of the quaternionic functional calculus
• A new functional calculus for noncommuting operators
• A new theory of regular functions of a quaternionic variable
• The Bergman-Sce transform for slice monogenic functions
• Bergman kernels for rectangular domains and multiperiodic functions in Clifford analysis
• Bergman spaces of higher‐dimensional hyperbolic polyhedron‐type domains I

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