On the generators of Clifford semigroups: polynomial resolvents and their integral transforms

DOI10.1016/j.jmaa.2022.126905OpenAlexW3156262759MaRDI QIDQ2682686

Vincenzo Recupero, Riccardo Ghiloni

Publication date: 1 February 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.07110

zbMATH Keywords

Laplace transformClifford algebrasquaternionsfunctional calculusfunctions of hypercomplex variablesslice regular semigroups

Mathematics Subject Classification ID

Groups and semigroups of linear operators, their generalizations and applications (47Dxx) General theory of linear operators (47Axx) Generalized function theory (30Gxx)

Cites Work

• Noncommutative Cauchy integral formula
• The quaternionic evolution operator
• Non commutative functional calculus: bounded operators
• Slice regular functions on real alternative algebras
• Noncommutative functional calculus. Theory and applications of slice hyperholomorphic functions
• Power series and analyticity over the quaternions
• Quaternion quantum mechanics: Second quantization and gauge fields
• A functional calculus in a noncommutative setting
• A Cauchy kernel for slice regular functions
• On the formulations of the quaternionic functional calculus
• Semigroups of linear operators and applications to partial differential equations
• Spectral theory on the S-spectrum for quaternionic operators
• Non-commutative functional calculus: unbounded operators
• 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
• Normed algebras
• Semigroups over real alternative *-algebras: Generation theorems and spherical sectorial operators
• The spectral theorem for quaternionic unbounded normal operators based on the S-spectrum
• CONTINUOUS SLICE FUNCTIONAL CALCULUS IN QUATERNIONIC HILBERT SPACES
• One-Parameter Semigroups for Linear Evolution Equations
• Spectral representations of normal operators in quaternionic Hilbert spaces via intertwining quaternionic PVMs
• Slice regular semigroups
• Quaternionic Closed Operators, Fractional Powers and Fractional Diffusion Processes
• Analytic semigroups and optimal regularity in parabolic problems
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