Gleason's problem and interpolation for hyperholomorphic functions).

DOI10.1016/S1631-073X(02)02598-0zbMath1039.30026OpenAlexW2018930703MaRDI QIDQ1565891

Daniel Alpay, Michael V. Shapiro

Publication date: 27 May 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(02)02598-0

zbMATH Keywords

Gleason's problemhyperholomorphic function

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Invariant subspaces of linear operators (47A15) Linear operator methods in interpolation, moment and extension problems (47A57) Moment problems and interpolation problems in the complex plane (30E05)

Related Items (4)

On some quaternionic series ⋮ On the structure of the Taylor series in Clifford and quaternionic analysis ⋮ Rational hyperholomorphic functions in \(\mathbb R^4\) ⋮ Rational functions and Gleason's problem associated to Dirac's operator. (Fonctions rationnelles et problème de Gleason associés à l'opérateur de Dirac)

Cites Work

• Sous-espaces de codimension finie dans la boule unité et un problème de factorisation
• Differentiation of the Martinelli‐Bochner Integrals and the Notion of Hyperderivability
• Some finite-dimensional backward-shift-invariant subspaces in the ball and a related interpolation problem
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