The Paley-Wiener theorem for the Hua system

DOI10.1006/jfan.1998.3374zbMath0917.43005OpenAlexW2090098020MaRDI QIDQ1283031

Richard C. Penney

Publication date: 25 July 1999

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1998.3374

zbMATH Keywords

Fourier transformPaley-Wiener theoremdifferential operatorstube domainKählerian manifoldCauchy-Szegő-Poisson kernelHua system

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15)

Related Items

Asymptotic expansions and Hua-harmonic functions on bounded homogeneous domains

Cites Work

• Les équations de Hua d'un domaine borné symétrique du type tube. (The equations of Hua for a bounded symmetric domain of tube type)
• Algèbres de Jordan et équations de Hua. (Jordan algebras and Hua's equations)
• The fundamental conjecture for homogeneous Kähler manifolds
• The Hua operators on bounded symmetric domains of tube type
• Poisson formula and compound diffusion associated to an overdetermined elliptic system on the Siegel halfplane of rank two
• Eigenfunctions of invariant differential operators on a symmetric space
• Admissible convergence for the Poisson-Szegö integrals
• Hua operators on bounded homogeneous domains in \(\mathbb{C}^ n\) and alternative reproducing kernels for holomorphic functions
• The construction of homogeneous convex cones
• A duality for symmetric spaces with applications to group representations
• Boundaries for left-invariant sub-elliptic operators on semidirect products of nilpotent and abelian groups.
• Équations de Cauchy-Riemann tangentielles associées à un domaine de Siegel
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