A functional calculus in a noncommutative setting
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Publication:928647
zbMath1137.47014MaRDI QIDQ928647
Irene Sabadini, Fabrizio Colombo, Graziano Gentili, Daniele C. Struppa
Publication date: 11 June 2008
Published in: Electronic Research Announcements in Mathematical Sciences (Search for Journal in Brave)
Functions of hypercomplex variables and generalized variables (30G35) Functional calculus for linear operators (47A60) Spectrum, resolvent (47A10)
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An extension theorem for slice monogenic functions and some of its consequences ⋮ Spectral representations of normal operators in quaternionic Hilbert spaces via intertwining quaternionic PVMs ⋮ On the generators of Clifford semigroups: polynomial resolvents and their integral transforms ⋮ Projective spectrum and cyclic cohomology ⋮ Power series and analyticity over the quaternions ⋮ Slice regular semigroups ⋮ The correct formulation of Gleason's theorem in quaternionic Hilbert spaces ⋮ The S-spectrum for Some Classes of Matrices ⋮ A Cauchy kernel for slice regular functions ⋮ Regular Moebius transformations of the space of quaternions ⋮ The Pompeiu formula for slice hyperholomorphic functions ⋮ The Cauchy formula with s-monogenic kernel and a functional calculus for noncommuting operators ⋮ On some properties of the quaternionic functional calculus ⋮ An Overview on Functional Calculus in Different Settings ⋮ Recent Developments for Regular Functions of a Hypercomplex Variable ⋮ On the formulations of the quaternionic functional calculus ⋮ Extension results for slice regular functions of a quaternionic variable ⋮ Spectral theorem for quaternionic normal operators: multiplication form
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