Results 71 to 80 of about 1,452 (203)

Heat Kernels, Bergman Kernels, and Cusp Forms [PDF]

, 2017
This article is a slightly elaborate version of the article arXiv:1506.08497, where certain errors have been corrected on this ...
openaire   +2 more sources

On the Asymptotic Expansion of the Bergman Kernel [PDF]

, 2015
Let $(L,h) \to (M,\omega)$ be a polarized K\"ahler manifold. We define the Bergman kernel for $H^0(M,L^k)$, holomorphic sections of the high tensor powers of the line bundle $L$.
Seto, Shoo
core  

Reproducing kernel for a class of weighted Bergman spaces on the symmetrized polydisc

, 2013
A natural class of weighted Bergman spaces on the symmetrized polydisc is isometrically embedded as a subspace in the corresponding weighted Bergman space on the polydisc. We find an orthonormal basis for this subspace.
Misra, G., Zhang, Genkai, Roy, S. S., Zhang, Genkai,, Misra, Gadadhar, Roy, S. S.,, Roy, Subrata Shyam, Misra, G.,   +7 more
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On some extremal problems in Bergman spaces in weakly pseudoconvex domains [PDF]

, 2018
summary:We consider and solve extremal problems in various bounded weakly pseudoconvex domains in $\mathbb {C}^{n}$ based on recent results on boundedness of Bergman projection with positive Bergman kernel in Bergman spaces $A_{\alpha }^{p}$ in such type
Mihić, Olivera R., Mihić, Olivera, Shamoyan, Romi F.   +2 more
core   +1 more source

Geometry of analytic continuation on complex manifolds – history, survey, and report

Complex Manifolds
Beginning with the state of art around 1953, solutions of the Levi problem on complex manifolds will be recalled at first up to Takayama’s result in 1998.
Ohsawa Takeo
doaj   +1 more source

The Bergman kernel on Reinhardt domains

, 1997
In the first chapter, we calculate the Bergman Kernel of monomial polyhedron P by splitting the index space ${\cal N}\sp{n}$ into finite disjoint convex cones which correspond to faces ${\cal F}(w)$ of $\partial {\rm log}(P).$ This enables us to sum up ...
Tiao, Chieh-Hsien
core  

2-Complex Symmetric Weighted Composition Operators on the Weighted Bergman Space of the Unit Ball

Axioms
There are two aims in this paper. One is to completely characterize complex symmetric and 2-complex symmetric weighted composition operators induced by some special symbols on the weighted Bergman space of the unit ball, and the other is to fully ...
Hui-Ling Jin, Zhi-Jie Jiang
doaj   +1 more source

Bergman Kernel Asymptotics for Partially Positive Line Bundles [PDF]

, 2018
A famous result of Catlin and Zelditch developed in the end of the last century gives a complete description for the following phenomena: Given a positive holomorphic line bundle $L$ over a closed compact complex manifold $M$ the Bergman kernel function $
Herrmann, Hendrik
core  

The Bergman Kernel of Complex Ovals and Multivariable Hypergeometric Functions

, 1996
We compute explicitly the Bergman and Szegő kernels for a class of pseudoconvex domains. The kernels are expressed in terms of Appell's multivariable hypergeometric functions.
Nicholas Hanges, Hanges, Nicholas, Francsics, Gábor, Gábor Francsics   +3 more
core   +1 more source

The Bergman kernel function in dimension two

, 1988
The Bergman kernel function for the class of smooth bounded pseudoconvex domains of finite type in $\doubc\sp2$ is studied and good estimates on the kernel and its derivatives are obtained near the boundary.
McNeal, Jeffery Dean
core