Results 171 to 180 of about 451,582 (212)

The Octonionic Bergman Kernel for the Half Space

Advances in Applied Clifford Algebras, 2019
We obtain the octonionic Bergman kernel for half space in the octonionic analysis setting by two different methods. As a consequence, we unify the kernel forms in both complex analysis and hyper-complex analysis.
Jinxun Wang, Xingmin Li
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Bergman kernel on Riemann surfaces and Kähler metric on symmetric products

International Journal of Mathematics, 2019
Let [Formula: see text] be a compact hyperbolic Riemann surface equipped with the Poincaré metric. For any integer [Formula: see text], we investigate the Bergman kernel associated to the holomorphic Hermitian line bundle [Formula: see text], where ...
Anilatmaja Aryasomayajula, I. Biswas
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Boundary asymptotics of the relative Bergman kernel metric for curves

Calculus of Variations and Partial Differential Equations, 2020
We study the behaviors of the relative Bergman kernel metrics on holomorphic families of degenerating hyperelliptic Riemann surfaces and their Jacobian varieties. Near a node or cusp, we obtain precise asymptotic formulas with explicit coefficients.
R. X. Dong
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Logarithmic Bergman Kernel and Conditional Expectation of Gaussian Holomorphic Fields

Journal of Geometric Analysis, 2019
We prove the asymptotic of the logarithmic Bergman kernel. And as an application, we calculate the conditional expectation of density of zeros of Gaussian random sections of powers of a positive line bundle that vanish along a fixed smooth subvariety.
Jingzhou Sun
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Weighted Bergman Kernel, Directional Lelong Number and John–Nirenberg Exponent

Journal of Geometric Analysis, 2018
Let $$\psi $$ ψ be a plurisubharmonic function on the closed unit ball and $$K_{t\psi }(z)$$ K t ψ ( z ) the Bergman kernel on the unit ball with respect to the weight $$t\psi $$ t ψ .
Bo Chen
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Variational Formula for Bergman Kernels

Journal of Mathematical Sciences, 2001
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Weighted Bergman Kernels and Quantization}

Communications in Mathematical Physics, 2002
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Bergman Kernel and Bergman Metric

2000
In this chapter we consider general domains in ℂ n . The material discussed is easily available in the literature. Still we give here essentially complete proofs, since we can do it in very concisely and since the results will be used later in several instances.
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Zero Problems of the Bergman Kernel Function on the First Type of Cartan-Hartogs Domain

Chinese Annals of Mathematics. Series B, 2022
Xin Zhao, An Wang
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Vector-Valued Kernels of Bergman Type

Complex Analysis and Operator Theory, 2017
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