Gleason's problem associated to a real ternary algebra and applications

DOI10.1007/s00006-018-0857-8zbMath1405.30049OpenAlexW2800799966MaRDI QIDQ1659526

Daniel Alpay, Adrian Vajiac, Mihaela Vajiac

Publication date: 15 August 2018

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

Full work available at URL: https://doi.org/10.1007/s00006-018-0857-8

zbMATH Keywords

Gleason's problemregular functionsFueter variablesternary analysis

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Monogenic and polygenic functions of one complex variable (30A05)

Related Items (3)

Complex Ternary Analysis and Applications ⋮ Monogenic functions with values in generalized Clifford algebras ⋮ A general setting for functions of Fueter variables: differentiability, rational functions, Fock module and related topics

Cites Work

• Unnamed Item
• Subalgebras of \(C^*\)-algebras. III: Multivariable operator theory
• Rational hyperholomorphic functions in \(\mathbb R^4\)
• Fischer decomposition in generalized fractional ternary Clifford analysis
• A realization theorem for rational functions of several complex variables
• Bicomplex Holomorphic Functions
• Hyperholomorphic rational functions: the Clifford analysis case
• On the ternary complex analysis and its applications
• A Generalization of Von Neumann's Inequality to the Complex Ball
• Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis
• On commuting operators solving Gleason’s problem
• Some finite-dimensional backward-shift-invariant subspaces in the ball and a related interpolation problem

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