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F. Knop (2001)
Combinatorics and invariant differential operators on multiplicity free spacesJournal of Algebra, 260
Genkai Zhang (2001)
Shimura invariant differential operators and their eigenvaluesMathematische Annalen, 319
Genkai Zhang (1992)
Tensor Products of Weighted Bergman Spaces and Invariant Ha-Plitz Operators.Mathematica Scandinavica, 71
G. Ólafsson, B. Ørsted (1996)
Lie Theory and its Applications in Physics
G. Shimura (1984)
On differential operators attached to certain representations of classical groupsInventiones mathematicae, 77
G. Shimura (1986)
On a class of nearly holomorphic automorphic formsAnnals of Mathematics, 123
R. Howe, T. Umeda (1991)
The Capelli identity, the double commutant theorem, and multiplicity-free actionsMathematische Annalen, 290
J. Peetre, G. Zhang (1998)
Invariant Cauchy-Riemann operator and realization of relative discrete series of line bundle over the unit ball of C nMichigan Math. J, 45
S. Helgason (1984)
Groups and geometric analysis
N. Wallach (1992)
Representation Theory of Lie Groups and Lie Algebras
J. Faraut, A. Korányi (1990)
Function spaces and reproducing kernels on bounded symmetric domainsJournal of Functional Analysis, 88
F. Knop, S. Sahi (1996)
Difference equations and symmetric polynomials defined by their zerosInternational Mathematics Research Notices, 1996
J. Peetre, Genkai Zhang (1992)
A weighted Plancherel formula III: the case of the hyperbolic matrix ballCollectanea Mathematica, 43
S. Sahi (1994)
Lie Theory and Geometry
G. Shimura (1981)
Arithmetic of differential operators on symmetric domainsDuke Mathematical Journal, 48
G. Shimura (1994)
Differential operators, holomorphic projection, and singular formsDuke Mathematical Journal, 76
G. Shimura (1990)
Invariant differential operators on hermitian symmetric spacesAnnals of Mathematics, 132
G. Ólafsson, B. Ørsted (1996)
Generalizations of the Bargmann Transform
Z. Yan (1993)
Several Complex Variables in China
W. Schmid (1969)
Die Randwerte holomorpher Funktionen auf hermitesch symmetrischen RäumenInventiones mathematicae, 9
M. Englis (2000)
The asymptotics of a Laplace integral on a Kähler manifoldJ. Reine Angew. Math., 528
(1995)
A survey of invariant Hilbert spaces of analytic functions on bounded symmetric domains
M. Englis, J. Peetre (1996)
Covariant Laplacean operators on Kähler manifoldsJ. Reine Angew. Math, 478
Genkai Zhang (1999)
Nearly holomorphic functions and relative discrete series of weighted $L^2$-spaces on bounded symmetric domainsJournal of Mathematics of Kyoto University, 42
A. Terras (1985)
Harmonic Analysis on Symmetric Spaces and Applications I
(1977)
Bounded symmetric domains and Jordan pairs
J. Peetre, G. Zhang (1992)
A weighted Plancherel formula III. The case of a hyperbolic matrix domainCollect. Math, 43
Genkai Zhang (2001)
Berezin transform on real bounded symmetric domainsTransactions of the American Mathematical Society, 353
J. Faraut, A. Korányi (1995)
Analysis on Symmetric Cones
A. Unterberger, H. Upmeier (1994)
The Berezin transform and invariant differential operatorsCommunications in Mathematical Physics, 164
野村 隆昭 (1990)
Algebraically independent generators of invariant differential operators on a symmetric cone, 712
Genkai Zhang (2001)
Branching Coefficients of Holomorphic Representations and Segal–Bargmann TransformJournal of Functional Analysis, 195
S. Sahi (1996)
A new scalar product for nonsymmetric Jack polynomialsarXiv: Quantum Algebra
J. Peetre, Genkai Zhang (1998)
Invariant Cauchy-Riemann operators and relative discrete series of line bundles over the unit ball of Cd.Michigan Mathematical Journal, 45
(1994)
Weyl quantization and tensor products of Fock and Bergman spaces
J. Arazy (1995)
Multivariable Operator Theory (Seattle, WA, 1993)
Genkai Zhang (2001)
Tensor products of minimal holomorphic representationsRepresentation Theory of The American Mathematical Society, 5
I. MacDonald (1979)
Symmetric functions and Hall polynomials
Genkai Zhang (2000)
Invariant differential operators on Hermitian symmetric spaces and their eigenvaluesIsrael Journal of Mathematics, 119
M. Engli (2000)
The asymptotics of a Laplace integral on a Kähler manifoldCrelle's Journal, 2000
W. Rudin (1980)
Function Theory in the Unit Ball of Cn
M. Engliš, J. Peetre (1996)
Covariant Cauchy-Riemann operators and higher Laplacians on Kähler manifolds.Journal für die reine und angewandte Mathematik (Crelles Journal), 1996
Mark Davidson, T. Enright, Ronald Stanke (1991)
Differential operators and highest weight representationsMemoirs of the American Mathematical Society, 94
J. Brylinski, V. Guillemin, R. Brylinski
The Spectrum of Certain Invariant Differential Operators Associated to a Hermitian Symmetric Space *
We give a brief survey on the study of constructions of invariant differential operators on Riemannian symmetric spaces and of combinatorial and analytical properties of their eigenvalues, and pose some open questions.
Acta Applicandae Mathematicae – Springer Journals
Published: Oct 10, 2004
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