Infinite dimensional bicomplex spectral decomposition theorem

DOI10.1007/s00006-013-0385-5zbMath1471.47011arXiv1206.4542OpenAlexW2048588988MaRDI QIDQ2443929

Ravinder Kumar, Kuldeep Singh Charak, Dominic Rochon

Publication date: 8 April 2014

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.4542

zbMATH Keywords

Hilbert spacescompact operatorsbicomplex numbersspectral decomposition theorembicomplex algebras

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Generalizations of inner products (semi-inner products, partial inner products, etc.) (46C50) Operators on Hilbert spaces (general) (47B02)

Related Items

On the mean ergodic theorem in bicomplex Banach modules, Infinite dimensional bicomplex spectral decomposition theorem, Bicomplex linear operators on bicomplex Hilbert spaces and Littlewood's subordination theorem, Unnamed Item, Unnamed Item, Bicomplex holomorphic functional calculus

Cites Work

• Fundamentals of bicomplex pseudoanalytic function theory: Cauchy integral formulas, negative formal powers and Schrödinger equations with complex coefficients
• Infinite-dimensional bicomplex Hilbert spaces
• Finite-dimensional bicomplex Hilbert spaces
• Bicomplex quantum mechanics. II: The Hilbert space
• Complete families of solutions for the Dirac equation using bicomplex function theory and transmutations
• The complex algebra of physical space: a framework for relativity
• Infinite dimensional bicomplex spectral decomposition theorem
• Bicomplex quantum mechanics. I: The generalized Schrödinger equation
• Multicomplex hyperfunctions
• ON A GENERALIZED FATOU–JULIA THEOREM IN MULTICOMPLEX SPACES
• Complexified clifford analysis
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item