Results 81 to 90 of about 673 (167)
Bergman kernel and hyperconvexity index [PDF]
Analysis & PDE, 2017 Let $ \subset {\mathbb C}^n$ be a bounded domain with the hyperconvexity index $ ( )>0$. Let $\varrho$ be the relative extremal function of a fixed closed ball in $ $ and set $ :=|\varrho|(1+|\log|\varrho||)^{-1}$, $ :=|\varrho|(1+|\log|\varrho||)^n$. We obtain the following estimates for the Bergman kernel: (1) For every $00$ such that $\int_
openaire +3 more sources
Bergman kernel functions for planar domains and conformal equivalence of domains
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2008 The Bergman kernels of multiply connected domains are related with proper holomorphic maps onto the unit disc. We study multiply connected planar domains and represent conformal equivalence of the Bell representative domains with annuli or any doubly ...
Moonja Jeong
doaj
Comptes Rendus. Mathématique, 2014 It is known that the Bergman kernel associated with Lk, where L is positive line bundle over a complex compact manifold, has an asymptotic expansion. We give an elementary proof of the fact that the subprincipal term of this expansion is the scalar curvature.
openaire +2 more sources
The Bergman kernel on forms: General theory
Proceedings of the American Mathematical Society, 2018 The goal of this note is to explore the Bergman projection on forms. In particular, we show that some of most basic facts used to construct the Bergman kernel on functions, such as pointwise evaluation in $L^2_{0,q}( )\cap\ker\bar\partial_q$, fail for $(0,q)$-forms, $q \geq 1$.
openaire +3 more sources
Applications of Bergman kernel functions
, 2003 In this paper we revisit the so-called Bergman kernel method (BKM) for solving conformal mapping problems. This method is based on the reproducing property of the Bergman kernel function. The main drawback of this well known technique is that it involves an orthonormalization process and thus is numerically unstable.
Bock, S., Falcão, M. I., Gürlebeck, K.
openaire +2 more sources
The bergman kernels of cartan — hartogs domains
Complex Variables, Theory and Application: An International Journal, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
, 2013 The thesis consists of three articles concerning reproducing kernels ofweighted spaces of polyanalytic functions on the complex plane. In the first paper, we study spaces of polyanalytic polynomials equipped with a Gaussianweight. In the remaining two papers, more general weight functions are considered. More precisely, we provide two methods to compute
openaire +1 more source
The asymptotic behavior of Bergman kernels
Advances in MathematicsLet $( X ,d ,p ) $ be the pointed Gromov-Hausdorff limit of a sequence of pointed complete polarized Kähler manifolds $( M_l ,ω_l ,\mathcal{L}_l ,h_l ,p_l ) $ with $Ric ( h_l ) =2πω_l $, $Ric ( ω_l ) \geq -Λω_l $ and $Vol \big( B_1 ( p_l ) \big) \geq v $, $\forall l\in\mathbb{N} $, where $Λ,v>0$ are constants. Then $X$ is a normal complex space [Liu-
openaire +2 more sources
Bergman Kernel in Complex Analysis [PDF]
, 2014 Kosiński, Łukasz, Zwonek, Włodzimierz
openaire +2 more sources
Entrained cortical delta-spindle activity, not periodic synchrony, prevents arousal by NREM thalamic bursts. [PDF]
Commun BiolLiu X +5 more
europepmc +1 more source