An Introduction to Fractional Powers of Quaternionic Operators and New Fractional Diffusion Processes

DOI10.1007/978-3-319-62362-7_5OpenAlexW2756587477MaRDI QIDQ4637538

Publication date: 24 April 2018

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-62362-7_5

zbMATH Keywords

\(S\)-spectrum fractional diffusion processes \(H^\infty\) functional calculus for quaternionic operators fractional powers of quaternionic operators

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Spectrum, resolvent (47A10) Operator theory (47-XX)

Related Items (2)

An Introduction to Fractional Powers of Quaternionic Operators and New Fractional Diffusion Processes ⋮ Operator Theory on One-Sided Quaternionic Linear Spaces: Intrinsic S-Functional Calculus and Spectral Operators

Cites Work

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Nonlocal diffusion and applications
Fractional \(p\)-Laplacian evolution equations
The spectral theorem for unitary operators based on the \(S\)-spectrum
On power series expansions of the \(S\)-resolvent operator and the Taylor formula
Slice hyperholomorphic Schur analysis
Regularity of solutions of the fractional porous medium flow
A new resolvent equation for the \(S\)-functional calculus
The quaternionic evolution operator
Noncommutative functional calculus. Theory and applications of slice hyperholomorphic functions
Nonlinear porous medium flow with fractional potential pressure
The \(H^{\infty}\) functional calculus based on the \(S\)-spectrum for quaternionic operators and for \(n\)-tuples of noncommuting operators
Fractional powers of closed operators and the semigroups generated by them
Fractional porous media equations: existence and uniqueness of weak solutions with measure data
On the formulations of the quaternionic functional calculus
Growth properties of semigroups generated by fractional powers of certain linear operators
The spectral theorem in quaternions
On some properties of the quaternionic functional calculus
Realizations of slice hyperholomorphic generalized contractive and positive functions
A new functional calculus for noncommuting operators
The functional calculus for sectorial operators
Semigroups over real alternative *-algebras: Generation theorems and spherical sectorial operators
The spectral theorem for quaternionic unbounded normal operators based on the S-spectrum
Entire Slice Regular Functions
The -spectrum and the -functional calculus
Regular Functions of a Quaternionic Variable
Functions of the infinitesimal generator of a strongly continuous quaternionic group
Fractional powers of infinitesimal generators and the analyticity of the semi-groups generated by them
Note on fractional powers of linear operators
On some properties of fractional powers of linear operators
Fractional powers of quaternionic operators and Kato’s formula using slice hyperholomorphicity
An Introduction to Fractional Powers of Quaternionic Operators and New Fractional Diffusion Processes
A direct approach to the S-functional calculus for closed operators
Operator Theory on One-Sided Quaternionic Linear Spaces: Intrinsic S-Functional Calculus and Spectral Operators
Perturbation of the generator of a quaternionic evolution operator
An Extension Problem Related to the Fractional Laplacian
On quaternionic functional analysis
Fractional powers of operators

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