Spectral theory on the S-spectrum for quaternionic operators

From MaRDI portal
Publication:1725960

DOI10.1007/978-3-030-03074-2zbMath1422.47002OpenAlexW2907403072MaRDI QIDQ1725960

Jonathan Gantner, Fabrizio Colombo, David P. Kimsey

Publication date: 15 February 2019

Published in: Operator Theory: Advances and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-03074-2




Related Items (59)

A polyanalytic functional calculus of order 2 on the 𝑆-spectrumThe Poisson kernel and the Fourier transform of the slice monogenic Cauchy kernelsOn Brolin's theorem over the quaternionsDifference of quaternionic weighted composition operators on slice regular Fock spacesOn some quaternionic generalized slice regular functionsPseudoS-spectrum in a right quaternionic Hilbert spaceThe product operator between Bloch-type spaces of slice regular functionsBerberian extension and its \(S\)-spectra in a quaternionic Hilbert spaceGeneralized Bohr radius for slice regular functions over quaternionsSlice quaternionic analysis in two variablesS-spectrum of quaternionic right linear bounded operatorsExtension theorem and representation formula in non-axially-symmetric domains for slice regular functionsHarmonic and polyanalytic functional calculi on the \(S\)-spectrum for unbounded operatorsFunctions and operators in real, quaternionic, and Cliffordian contextsKato S-spectrum in the quaternionic settingOn a Runge theorem over \({\mathbb{R}}_3\)On the generators of Clifford semigroups: polynomial resolvents and their integral transformsThe \(\mathcal{F}\)-resolvent equation and Riesz projectors for the \(\mathcal{F}\)-functional calculusHeat, resolvent and wave kernels for the full quaternionic Heisenberg LaplacianProperties of a polyanalytic functional calculus on the S‐spectrumDrazin invertibility of linear operators on quaternionic Banach spacesQuaternionic Davis-Wielandt shell in a right quaternionic Hilbert spaceFredholm theory in quaternionic Banach algebrasA survey on the recent advances in the spectral theory on the S-spectrumCharacterization of the condition S-spectrum of a compact operator in a right quaternionic Hilbert spaceThe fine structure of the spectral theory on the \(S\)-spectrum in dimension fiveOn some quaternionic seriesQuaternionic triangular linear operatorsConcept of s-numbers in quaternionic analysis and Schatten classesNuclearity and Grothendieck-Lidskii formula for quaternionic operatorsOn the polyanalytic short-time Fourier transform in the quaternionic settingStrongly irreducible factorization of quaternionic operators and Riesz decomposition theoremOn the conformal mappings and the global operator \(G\)Infinite-order differential operators acting on entire hyperholomorphic functionsWeak slice regular functions on the \(n\)-dimensional quadratic cone of octonionsA new approach to slice analysis via slice topologyThe noncommutative fractional Fourier law in bounded and unbounded domainsSlice monogenic functions of a Clifford variable via the 𝑆-functional calculusGrowth theorems in slice analysis of several variablesOn the quaternionic short-time Fourier and Segal-Bargmann transformsAn introduction to hyperholomorphic spectral theories and fractional powers of vector operatorsSpectrum and analytic functional calculus for Clifford operators via stem functionsOn interactions of quaternionic and complex structures of linear spacesSome properties of \(K\)-frames in quaternionic Hilbert spacesQuaternionic regularity via analytic functional calculusFractional powers of vector operators with first order boundary conditionsThe spectral theorem for normal operators on a Clifford moduleA new quaternion hyper-complex space with hyper argument and basic functions via quaternion dynamic equationsThe global Borel-Pompieu-type formula for quaternionic slice regular functionsTowards a general \(\mathcal{F}\)-resolvent equation and Riesz projectorsRiesz projection and essential \(S\)-spectrum in quaternionic settingAxially harmonic functions and the harmonic functional calculus on the \(S\)-spectrumPseudo \(S\)-spectra of special operators in quaternionic Hilbert spacesUniversality property of the \(S\)-functional calculus, noncommuting matrix variables and Clifford operatorsQuaternionic exponentially dichotomous operators through \(S\)-spectral splitting and applications to Cauchy problemS-spectrum and numerical range of a quaternionic operatorOn the global operator and Fueter mapping theorem for slice polyanalytic functionsDemicompactness results and Frobenuis Schur's decomposition for block operator matrices in right quaternionic Hilbert spacesFractional powers of higher-order vector operators on bounded and unbounded domains




This page was built for publication: Spectral theory on the S-spectrum for quaternionic operators