Weighted Bergman kernels for nearly holomorphic functions on bounded symmetric domains
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Publication:6184587
DOI10.1016/j.jfa.2023.110213arXiv2303.02256OpenAlexW4387747253MaRDI QIDQ6184587
El Hassan Youssfi, Genkai Zhang, Miroslav Engliš
Publication date: 25 January 2024
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2303.02256
Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Differential geometry of symmetric spaces (53C35) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)
Cites Work
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- Okounkov's BC-type interpolation Macdonald polynomials and their \(q=1\) limit
- On a class of nearly holomorphic automorhic forms
- \(BC\)-type interpolation Macdonald polynomials and binomial formula for Koornwinder polynomials
- Berezin transform on compact Hermitian symmetric spaces
- The Plancherel formula for spherical functions with a one-dimensional \(K\)-type on a simply connected simple Lie group of Hermitian type
- Nearly holomorphic functions and relative discrete series of weighted \(L^2\)-spaces on bounded symmetric domains
- Invariant Cauchy-Riemann operators and relative discrete series of line bundles over the unit ball of \({\mathbb{C}}^d\)
- Toeplitz operators on higher Cauchy-Riemann spaces
- Relative discrete series of line bundles over bounded symmetric domains
- Harmonic analysis for certain representations of graded Hecke algebras
- Toeplitz operators and index theory in several complex variables
- Positivity of Shimura operators
- \(Q_p\)-spaces on bounded symmetric domains
- Die Randwerte holomorpher Funktionen auf hermitesch symmetrischen Räumen
- Function spaces and reproducing kernels on bounded symmetric domains
- Certain Hypergeometric Series Related to the Root System BC
- One-dimensional $K$-types in finite dimensional representations of semisimple Lie groups: A generalization of Helgason's theorem.
- Jordan Algebras and Harmonic Analysis on Symmetric Spaces
- A Class of Generalized Hypergeometric Functions in Several Variables
- Composition Series and Intertwining Operators for the Spherical Principal Series. I
- A weighted Plancherel formula II. The case of the ball
- The asymptotics of a Laplace integral on a Kähler manifold
- An Introduction to Dunkl Theory and Its Analytic Aspects
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