A direct approach to the analytic Bergman projection
type: Item
instance of: scholarly article
title: A direct approach to the analytic Bergman projection
author: Alix Deleporte
author: Michael Hitrik
author: Johannes Sjöstrand
published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
publication date: 2024-09-18T00:00:00Z
Mathematics Subject Classification ID: 32A36
Mathematics Subject Classification ID: 32A25
zbMATH DE Number: 7915642
zbMATH Keywords: Bergman projection
zbMATH Keywords: exponentially weighted spaces of holomorphic functions
MaRDI profile type: Publication
cites work: A direct approach to Bergman kernel asymptotics for positive line bundles
cites work: Q2995251
cites work: Q4263085
cites work: Analytic Berezin-Toeplitz operators
cites work: On the \(\bar {\partial{}}\) equation in weighted \(L^ 2\) norms in \(\mathbb{C} ^ 1\)
cites work: Positivity, complex FIOs, and Toeplitz operators
cites work: Toeplitz operators with analytic symbols
cites work: Pointwise estimates for the weighted Bergman projection kernel in \({\mathbb C}^n\), using a weighted \(L^2\) estimate for the \(\bar\partial\) equation
cites work: F.B.I. transformation. Second microlocalization and semilinear caustics
cites work: Off-diagonal Asymptotic Properties of Bergman Kernels Associated to Analytic Kähler Potentials
cites work: On a property of Bergman kernels when the Kähler potential is analytic
cites work: Two minicourses on analytic microlocal analysis
cites work: Asymptotics for Bergman projections with smooth weights: a direct approach
cites work: \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
cites work: Notions of convexity
cites work: Q3889385
cites work: Generalized Bergman kernels on symplectic manifolds of bounded geometry
cites work: Holomorphic Morse inequalities and Bergman kernels
cites work: Geometric quantization results for semi-positive line bundles on a Riemann surface
cites work: Determinants of pseudodifferential operators and complex deformations of phase space.
cites work: Pseudo-differential operators and Gevrey classes
cites work: Q4111841
cites work: Analytic Bergman operators in the semiclassical limit
cites work: Q3037865
cites work: Irregular fluctuations in uncoupled map lattices
DOI: 10.5802/AFST.1765
description: scientific article; zbMATH DE number 7915642