The \(F\)-functional calculus for unbounded operators

DOI10.1016/J.GEOMPHYS.2014.09.002zbMath1440.47010OpenAlexW2913512035MaRDI QIDQ478854

Irene Sabadini, Fabrizio Colombo

Publication date: 4 December 2014

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2014.09.002

zbMATH Keywords

\(F\)-functional calculus for \(n\)-tuples of unbounded operators\(F\)-spectrumFueter mapping theorem in integral formvector-valued slice monogenic functions

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Functional calculus for linear operators (47A60) Research exposition (monographs, survey articles) pertaining to operator theory (47-02)

Related Items (12)

The Poisson kernel and the Fourier transform of the slice monogenic Cauchy kernels ⋮ Slice Hyperholomorphic Functional Calculi ⋮ Harmonic and polyanalytic functional calculi on the \(S\)-spectrum for unbounded operators ⋮ The \(\mathcal{F}\)-resolvent equation and Riesz projectors for the \(\mathcal{F}\)-functional calculus ⋮ Properties of a polyanalytic functional calculus on the S‐spectrum ⋮ A survey on the recent advances in the spectral theory on the S-spectrum ⋮ A Panorama on Quaternionic Spectral Theory and Related Functional Calculi ⋮ Monogenic plane waves and the W -functional calculus ⋮ Unbounded operators in Hilbert space, duality rules, characteristic projections, and their applications ⋮ An introduction to hyperholomorphic spectral theories and fractional powers of vector operators ⋮ Towards a general \(\mathcal{F}\)-resolvent equation and Riesz projectors ⋮ Axially harmonic functions and the harmonic functional calculus on the \(S\)-spectrum

Cites Work

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• Pontryagin-de Branges-Rovnyak spaces of slice hyperholomorphic functions
• Schur functions and their realizations in the slice hyperholomorphic setting
• Krein-Langer factorization and related topics in the slice hyperholomorphic setting
• An extension theorem for slice monogenic functions and some of its consequences
• Noncommutative functional calculus. Theory and applications of slice hyperholomorphic functions
• The Cauchy formula with s-monogenic kernel and a functional calculus for noncommuting operators
• Slice monogenic functions
• Schur functions, operator colligations, and reproducing kernel Pontryagin spaces
• Generalization of Fueter's result to \(\mathbb{R}^{n+1}\)
• Analysis of Dirac systems and computational algebra.
• Spectral properties of noncommuting operators
• Realizations of slice hyperholomorphic generalized contractive and positive functions
• A new functional calculus for noncommuting operators
• Generalizations of Fueter's theorem
• The -spectrum and the -functional calculus
• On some notions of convergence for n -tuples of operators
• The Fueter mapping theorem in integral form and the ℱ-functional calculus

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