Bicomplex weighted Hardy spaces and bicomplex \(C^*\)-algebras

DOI10.1007/s00006-015-0572-7zbMath1337.30059arXiv1503.00109OpenAlexW2963857213MaRDI QIDQ284538

Sanjay Kumar, Kulbir Singh, Romesh Kumar, Heera Saini

Publication date: 18 May 2016

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

Full work available at URL: https://arxiv.org/abs/1503.00109

zbMATH Keywords

weighted Hardy spaces\(C^*\) algebrasbicomplex numbers

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) General theory of (C^*)-algebras (46L05) Hardy spaces (30H10)

Related Items (16)

Integration of functions of a hyperbolic variable ⋮ Topological bicomplex modules ⋮ The fixed points and cross-ratios of hyperbolic Möbius transformations in bicomplex space ⋮ Maximal ideals in a bicomplex algebra and bicomplex Gelfand–Mazur theorem ⋮ Conjugate complex harmonic functions ⋮ On bicomplex \(\mathbb{BC}\)-modules \(l_p^\Bbbk(\mathbb{BC})\) and some of their geometric properties ⋮ Bicomplex modules with indefinite inner product ⋮ On the mean ergodic theorem in bicomplex Banach modules ⋮ Bicomplex weighted Bergman spaces and composition operators ⋮ The Schwarz lemma in bicomplex analysis ⋮ Some fundamental theorems of functional analysis with bicomplex and hyperbolic scalars ⋮ Unnamed Item ⋮ Bicomplex Bergman and Bloch spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Quaternionic Fock space on slice hyperholomorphic functions

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