Quaternionic regularity via analytic functional calculus

DOI10.1007/s00020-020-2574-7zbMath1443.47088arXiv1905.13051OpenAlexW3012569088MaRDI QIDQ2307687

Florian-Horia Vasilescu

Publication date: 25 March 2020

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.13051

zbMATH Keywords

stem functionsquaternionic Cauchy transformquaternionic regularityslice hyperholomorphyspectrum of a quaternion

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) Quaternionic operator theory (47S05)

Related Items (2)

Functions and operators in real, quaternionic, and Cliffordian contexts ⋮ Spectrum and analytic functional calculus for Clifford operators via stem functions

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
• Spectral theory on the S-spectrum for quaternionic operators
• A new theory of regular functions of a quaternionic variable
• Real \(C^ *\)-algebras
• Matrices of quaternions
• CONTINUOUS SLICE FUNCTIONAL CALCULUS IN QUATERNIONIC HILBERT SPACES
• Regular Functions of a Quaternionic Variable
• Structure and applications of real 𝐶*-algebras

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