Topological bicomplex modules

DOI10.1007/s00006-016-0646-1zbMath1369.30060arXiv1507.05816OpenAlexW2963665874MaRDI QIDQ2360825

Romesh Kumar, Heera Saini

Publication date: 29 June 2017

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

Full work available at URL: https://arxiv.org/abs/1507.05816

zbMATH Keywords

bicomplex numberstopological modules over bicomplex numbers

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Topological linear spaces and related structures (46A99)

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Cites Work

• Bicomplex weighted Hardy spaces and bicomplex \(C^*\)-algebras
• Complex Laplacian and derivatives of bicomplex functions
• Bicomplex linear operators on bicomplex Hilbert spaces and Littlewood's subordination theorem
• Infinite-dimensional bicomplex Hilbert spaces
• Finite-dimensional bicomplex Hilbert spaces
• Singularities of functions of one and several bicomplex variables
• Bicomplex quantum mechanics. II: The Hilbert space
• On Clifford analysis for holomorphic mappings
• On linear functionals and Hahn-Banach theorems for hyperbolic and bicomplex modules
• On the bicomplex Gleason-Kahane-Żelazko theorem
• Contributions to the theory of functions of a bicomplex variable
• The Cauchy-Kowalewski product for bicomplex holomorphic functions
• Bicomplex Numbers and their Elementary Functions
• Bicomplex Holomorphic Functions
• Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis
• Bicomplex holomorphic functional calculus
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