Results 11 to 20 of about 1,565 (216)
Restricted Bergman kernel asymptotics [PDF]
Transactions of the American Mathematical Society, 2012 24 pages, version 2: additional comments on Theorem 1.4, updated references, to appear in Transactions of the American Mathematical ...
Tomoyuki Hisamoto
openalex +3 more sources
Algebraicity of the Bergman kernel
Mathematische Annalen, 2023 Our main result introduces a new way to characterize two-dimensional finite ball quotients by algebraicity of their Bergman kernels. This characterization is particular to dimension two and fails in higher dimensions, as is illustrated by a counterexample in dimension three constructed in this paper.
Peter Ebenfelt, Ming Xiao, Hang Xu
openaire +3 more sources
Weighted Bergman kernels and virtual Bergman kernels [PDF]
Science in China Series A: Mathematics, 2005 12 pages. One-hour lecture for graduate students, SCV 2004, August 2004, Beijing, P.R. China.
openaire +2 more sources
Bergman Kernel from Path Integral [PDF]
Communications in Mathematical Physics, 2009 We rederive the expansion of the Bergman kernel on Kahler manifolds developed by Tian, Yau, Zelditch, Lu and Catlin, using path integral and perturbation theory, and generalize it to supersymmetric quantum mechanics. One physics interpretation of this result is as an expansion of the projector of wave functions on the lowest Landau level, in the ...
Douglas, Michael, Klevtsov, Semyon
openaire +2 more sources
Bergman kernels of elementary Reinhardt domains [PDF]
Pacific Journal of Mathematics, 2020 Typos corrected.
Chakrabarti, Debraj +3 more
openaire +3 more sources
Off-Spectral Analysis of Bergman Kernels [PDF]
Communications in Mathematical Physics, 2020 AbstractThe asymptotic analysis of Bergman kernels with respect to exponentially varying measures near emergent interfaces has attracted recent attention. Such interfaces typically occur when the associated limiting Bergman density function vanishes on a portion of the plane,the off-spectral region.
Hedenmalm, Haakan, Wennman, Aron
openaire +2 more sources
Bergman projections on weighted Fock spaces in several complex variables
Journal of Inequalities and Applications, 2017 Let ϕ be a real-valued plurisubharmonic function on C n ${\mathbb {C}}^{n}$ whose complex Hessian has uniformly comparable eigenvalues, and let F p ( ϕ ) $\mathcal{F}^{p}(\phi)$ be the Fock space induced by ϕ.
Xiaofen Lv
doaj +1 more source
Weighted Sub-Bergman Hilbert spaces in the unit ball of ℂn
Concrete Operators, 2020 In this note, we study defect operators in the case of holomorphic functions of the unit ball of ℂn. These operators are built from weighted Bergman kernel with a holomorphic vector.
Rososzczuk Renata, Symesak Frédéric
doaj +1 more source
On weights which admit the reproducing kernel of Bergman type
International Journal of Mathematics and Mathematical Sciences, 1992 In this paper we consider (1) the weights of integration for which the reproducing kernel of the Bergman type can be defined, i.e., the admissible weights, and (2) the kernels defined by such weights.
Zbigniew Pasternak-Winiarski
doaj +1 more source
Reproducing Kernels of Weight Square-Summable Sequences Hilbert Spaces
Annales Mathematicae Silesianae, 2019 In this paper we will introduce the concept of weighted reproducing kernel of l2(ℂ) space, in similiar way as it is done in case of weighted reproducing kernel of Bergman space.
Żynda Tomasz Łukasz
doaj +1 more source