Functions and operators in real, quaternionic, and Cliffordian contexts

DOI10.1007/s11785-022-01292-xOpenAlexW4308312306MaRDI QIDQ2679098

Florian-Horia Vasilescu

Publication date: 19 January 2023

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

Full work available at URL: https://doi.org/10.1007/s11785-022-01292-x

zbMATH Keywords

realanalytic functional calculusClifford and quaternionic operatorsHamilton and Clifford algebrasspectral and Cauchy transformations

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Functional calculus for linear operators (47A60) Spectrum, resolvent (47A10) Dilations, extensions, compressions of linear operators (47A20) Clifford algebras, spinors (15A66)

Cites Work

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• Slice regular functions on real alternative algebras
• Noncommutative functional calculus. Theory and applications of slice hyperholomorphic functions
• Extension results for slice regular functions of a quaternionic variable
• Slice monogenic functions
• Spectral theory on the S-spectrum for quaternionic operators
• Spectral properties of noncommuting operators
• Spectrum and analytic functional calculus for Clifford operators via stem functions
• Quaternionic regularity via analytic functional calculus
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• Spectral theory of linear relations on real Banach spaces
• Real Banach algebras
• Real \(C^ *\)-algebras
• The logic of quantum mechanics
• Normed algebras
• CONTINUOUS SLICE FUNCTIONAL CALCULUS IN QUATERNIONIC HILBERT SPACES
• Regular Functions of a Quaternionic Variable
• Spectrum and Analytic Functional Calculus in Real and Quaternionic Frameworks
• Structure and applications of real 𝐶*-algebras

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