Composition operators on generalized Fock spaces of slice hyperholomorphic functions

DOI10.1007/s00006-020-1041-5zbMath1435.47036OpenAlexW3000889915MaRDI QIDQ2301508

Kaikai Han, Maofa Wang

Publication date: 24 February 2020

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-020-1041-5

zbMATH Keywords

composition operatorconnected component\(S\)-spectrumgeneralized Fock spaceslice hyperholomorphic function

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Linear composition operators (47B33) Bergman spaces and Fock spaces (30H20)

Cites Work

• Unnamed Item
• Slice hyperholomorphic Schur analysis
• Noncommutative functional calculus. Theory and applications of slice hyperholomorphic functions
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• A Cauchy kernel for slice regular functions
• On slice polyanalytic functions of a quaternionic variable
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• Composition operators in Bloch spaces of slice hyperholomorphic functions
• A new theory of regular functions of a quaternionic variable
• A new approach to Cullen-regular functions of a quaternionic variable
• Entire Slice Regular Functions
• CONTINUOUS SLICE FUNCTIONAL CALCULUS IN QUATERNIONIC HILBERT SPACES
• Regular Functions of a Quaternionic Variable
• The Fock Space in the Slice Hyperholomorphic Setting
• Fredholm operators and essential S-spectrum in the quaternionic setting
• Perturbation of normal quaternionic operators
• Regular subspaces of a quaternionic Hilbert space from quaternionic Hermite polynomials and associated coherent states

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