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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
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A remark on 'Some numerical results in complex differential geometry'
, 2006 In this note we verify certain statement about the operator $Q\_K$ constructed by Donaldson in [3] by using the full asymptotic expansion of Bergman kernel obtained in [2] and [4].Comment: 7 pages, modified the relation on $K\_p$ and $K\_{\omega,p}
Liu, Kefeng, Ma, Xiaonan
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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, $q \geq 1$.
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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.
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, 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
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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-
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Bergman Kernel in Complex Analysis [PDF]
, 2014 Kosiński, Łukasz, Zwonek, Włodzimierz
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Semiclassical Ohsawa–Takegoshi extension theorem and asymptotics of the orthogonal Bergman kernel
Journal of differential geometrySiarhei Finski
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Any Topological Recursion on a Rational Spectral Curve is KP Integrable. [PDF]
Commun Math PhysAlexandrov A +4 more
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