Spectrum and analytic functional calculus for Clifford operators via stem functions

DOI10.1515/conop-2020-0115zbMath1489.30050arXiv2008.07161OpenAlexW3181196452MaRDI QIDQ2049041

Florian-Horia Vasilescu

Publication date: 24 August 2021

Published in: Concrete Operators (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.07161

zbMATH Keywords

Clifford algebrasanalytic functional calculusstem functionsClifford and complex spectra

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Functional calculus for linear operators (47A60) Spectrum, resolvent (47A10) Monogenic and polygenic functions of one complex variable (30A05)

Related Items (1)

Functions and operators in real, quaternionic, and Cliffordian contexts

Cites Work

• Noncommutative functional calculus. Theory and applications of slice hyperholomorphic functions
• A general framwork for a multi-operator functional calculus
• Slice monogenic functions
• Matrix representations of Clifford algebras
• Holomorphic Cliffordian functions
• Spectral theory on the S-spectrum for quaternionic operators
• Spectral properties of noncommuting operators
• Quaternionic regularity via analytic functional calculus
• A new theory of regular functions of a quaternionic variable
• The analytic-functional calculus for several commuting operators
• CONTINUOUS SLICE FUNCTIONAL CALCULUS IN QUATERNIONIC HILBERT SPACES
• Operants: A Functional Calculus for Non-Commuting Operators
• Functions of several noncommuting variables
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