Universality property of the \(S\)-functional calculus, noncommuting matrix variables and Clifford operators
From MaRDI portal
Publication:2094601
DOI10.1016/j.aim.2022.108719OpenAlexW4226211252MaRDI QIDQ2094601
David P. Kimsey, Irene Sabadini, Fabrizio Colombo, Jonathan Gantner
Publication date: 8 November 2022
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.05204
universality property\(S\)-spectrumClifford operatorsabstract \(S\)-functional calculusnoncommuting matrix variables
Related Items (3)
Harmonic and polyanalytic functional calculi on the \(S\)-spectrum for unbounded operators ⋮ A survey on the recent advances in the spectral theory on the S-spectrum ⋮ The fine structure of the spectral theory on the \(S\)-spectrum in dimension five
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The spectral theorem for unitary operators based on the \(S\)-spectrum
- Slice hyperholomorphic Schur analysis
- An extension of Herglotz's theorem to the quaternions
- A new resolvent equation for the \(S\)-functional calculus
- Slice regular functions on real alternative algebras
- Noncommutative functional calculus. Theory and applications of slice hyperholomorphic functions
- The \(H^{\infty}\) functional calculus based on the \(S\)-spectrum for quaternionic operators and for \(n\)-tuples of noncommuting operators
- Slice monogenic functions
- The Radon transform between monogenic and generalized slice monogenic functions
- Clifford algebras, Fourier transforms and singular convolution operators on Lipschitz surfaces
- Singular integrals on star-shaped Lipschitz surfaces in the quaternionic space
- Spectral theory on the S-spectrum for quaternionic operators
- S-spectrum and the quaternionic Cayley transform of an operator
- An application of the \(S\)-functional calculus to fractional diffusion processes
- Analysis of Dirac systems and computational algebra.
- Spectral properties of noncommuting operators
- An introduction to hyperholomorphic spectral theories and fractional powers of vector operators
- The spectral theorem for normal operators on a Clifford module
- The noncommutative fractional Fourier law in bounded and unbounded domains
- Fractional powers of vector operators with first order boundary conditions
- A new functional calculus for noncommuting operators
- The functional calculus for sectorial operators
- A new approach to Cullen-regular functions of a quaternionic variable
- The analytic-functional calculus for several commuting 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
- Regular Functions of a Quaternionic Variable
- The Fueter mapping theorem in integral form and the ℱ-functional calculus
- The Weyl calculus and Clifford analysis
- Fredholm operators and essential S-spectrum in the quaternionic setting
- Singular Integrals and Fourier Theory on Lipschitz Boundaries
- Quaternionic Approximation
- Michele Sce's Works in Hypercomplex Analysis
- Operator Theory on One-Sided Quaternionic Linear Spaces: Intrinsic S-Functional Calculus and Spectral Operators
- Slice monogenic functions of a Clifford variable via the 𝑆-functional calculus
- The structure of the fractional powers of the noncommutative Fourier law
- Quaternionic de Branges Spaces and Characteristic Operator Function
- Perturbation of normal quaternionic operators
- Quaternionic Closed Operators, Fractional Powers and Fractional Diffusion Processes
- Normal Operators on Quaternionic Hilbert Spaces
This page was built for publication: Universality property of the \(S\)-functional calculus, noncommuting matrix variables and Clifford operators
