Generalized Bergman kernels on symplectic manifolds of bounded geometry-Reference-Cited by-同舟云学术

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Generalized Bergman kernels on symplectic manifolds of bounded geometry

Published:2019-06-04 Issue:11 Volume:44 Page:1037-1071
ISSN:0360-5302
Container-title:Communications in Partial Differential Equations
language:en
Short-container-title:Communications in Partial Differential Equations

Author:

Kordyukov Yuri A.¹,Ma Xiaonan²,Marinescu George³⁴

Affiliation:

1. Institute of Mathematics with Computing Centre, Ufa Federal Research Centre of Russian Academy of Sciences, Ufa, Russia;

2. Institut de Mathématiques de Jussieu–Paris Rive Gauche, UFR de Mathématiques, Université Paris Diderot - Paris 7, Paris Cedex 13, France;

3. Universität zu Köln, Mathematisches Institut, Köln, Germany;

4. Institute of Mathematics ‘Simion Stoilow’, Romanian Academy, Bucharest, Romania

Funder

Russian Science Foundation

NNSFC

DFG

Publisher

Informa UK Limited

Subject

Applied Mathematics,Analysis

Link

https://www.tandfonline.com/doi/pdf/10.1080/03605302.2019.1611849

Reference30 articles.

1. The Laplace operator on the nth tensor power of a line bundle: eigenvalues which are uniformly bounded in n

2. The asymptotics of the Ray-Singer analytic torsion associated with high powers of a positive line bundle

3. Almost Complex Structures and Geometric Quantization

4. The spin $^{\bf c}$ Dirac operator on high tensor powers of a line bundle

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1. Quantization, dequantization, and distinguished states;Journal of Physics A: Mathematical and Theoretical;2024-09-13

2. A direct approach to the analytic Bergman projection;Annales de la Faculté des sciences de Toulouse : Mathématiques;2024-07-26

3. Semiclassical Asymptotic Expansions for Functions of the Bochner–Schrödinger Operator;Russian Journal of Mathematical Physics;2023-06

4. Berezin–Toeplitz Quantization on Symplectic Manifolds of Bounded Geometry;Mathematical Notes;2022-10

5. Berezin–Toeplitz quantization associated with higher Landau levels of the Bochner Laplacian;Journal of Spectral Theory;2022-03-24

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