A partial generalization of the Helgason Conjecture to general bounded homogeneous domains

DOI10.1515/FORUM.2009.019zbMath1170.43005WikidataQ122903758 ScholiaQ122903758MaRDI QIDQ3632754

Richard C. Penney

Publication date: 12 June 2009

Published in: Forum Mathematicum (Search for Journal in Brave)

zbMATH Keywords

bounded homogeneous domainsHelgason conjecture\({\mathcal I}\)-harmonic functions

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Harmonic, subharmonic, superharmonic functions on other spaces (31C05)

Cites Work

• Local boundary data of eigenfunctions on a Riemannian symmetric space
• The fundamental conjecture for homogeneous Kähler manifolds
• Eigenspaces of invariant differential operators on an affine symmetric space
• Systems of differential equations with regular singularities and their boundary value problems
• Hua operators on bounded homogeneous domains in \(\mathbb{C}^ n\) and alternative reproducing kernels for holomorphic functions
• van den Ban-Schlichtkrull-Wallach asymptotic expansions on nonsymmetric domains
• Representation of Elliptic Operators in an Enveloping Algebra
• Cauchy problems with characteristic initial hypersurface

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