Invariant differential operators on Hermitian symmetric spaces and their eigenvalues

DOI10.1007/BF02810667zbMath0972.43006MaRDI QIDQ1594893

Genkai Zhang

Publication date: 6 November 2001

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Hermitian symmetric spacesinvariant differential operatorsBerezin transformCauchy-Riemann operator

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85)

Related Items (7)

Weyl invariant polynomial and deformation quantization on Kähler manifolds ⋮ Hilbert series of nearly holomorphic sections on generalized flag manifolds ⋮ Higher Laplacians on pseudo-Hermitian symmetric spaces ⋮ Weyl transforms on the upper half plane ⋮ Hua operators and Poisson transform for bounded symmetric domains ⋮ Higher Laplace-Beltrami operators on bounded symmetric domains ⋮ Branching coefficients of holomorphic representations and Segal-Bargmann transform

Cites Work

• Differential operators and the singular values of Eisenstein series
• Harmonic analysis on the quantized Riemann sphere
• Differential operators, holomorphic projection, and singular forms
• Invariant Cauchy-Riemann operators and relative discrete series of line bundles over the unit ball of \({\mathbb{C}}^d\)
• The Berezin transform and invariant differential operators
• Die Randwerte holomorpher Funktionen auf hermitesch symmetrischen Räumen
• Invariant differential operators on Hermitian symmetric spaces
• Function spaces and reproducing kernels on bounded symmetric domains
• Toeplitz Operators on Bounded Symmetric Domains
• Some Results on Invariant Differential Operators on Symmetric Spaces
• Covariant Cauchy-Riemann operators and higher Laplacians on Kähler manifolds.
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