Bicomplex holomorphic functional calculus

DOI10.1002/mana.201200354zbMath1295.30112OpenAlexW1532231235MaRDI QIDQ5495892

Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa

Publication date: 7 August 2014

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11311/844177

zbMATH Keywords

bounded bicomplex linear operatorsreduced spectrumbicomplex holomorphic analysisbicomplex holomorphic functional calculus

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Functional calculus for linear operators (47A60) Spectrum, resolvent (47A10)

Related Items (12)

Topological bicomplex modules ⋮ Bicomplex weighted Hardy spaces and bicomplex \(C^*\)-algebras ⋮ Maximal ideals in a bicomplex algebra and bicomplex Gelfand–Mazur theorem ⋮ Conjugate complex harmonic functions ⋮ On the mean ergodic theorem in bicomplex Banach modules ⋮ Bicomplex weighted Bergman spaces and composition operators ⋮ Directional derivatives and Stolz condition for bicomplex holomorphic functions ⋮ Some fundamental theorems of functional analysis with bicomplex and hyperbolic scalars ⋮ Bicomplex Bergman and Bloch spaces ⋮ Unnamed Item ⋮ Bicomplex linear operators on bicomplex Hilbert spaces and Littlewood's subordination theorem ⋮ Unnamed Item

Cites Work

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• Fundamentals of bicomplex pseudoanalytic function theory: Cauchy integral formulas, negative formal powers and Schrödinger equations with complex coefficients
• Complex Laplacian and derivatives of bicomplex functions
• Noncommutative functional calculus. Theory and applications of slice hyperholomorphic functions
• Singularities of functions of one and several bicomplex variables
• Spectral properties of noncommuting operators
• Infinite dimensional bicomplex spectral decomposition theorem
• Sulla rappresentazione delle funzioni di variabile bicomplessa totalmente derivabili
• The Cauchy-Kowalewski product for bicomplex holomorphic functions
• Bicomplex Numbers and their Elementary Functions
• Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis

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