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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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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.
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EXPLICIT FORMULAS FOR THE BERGMAN KERNEL ON CERTAIN FORELLI-RUDIN CONSTRUCTION [PDF]
, 2012 Liyou Zhang, An Wang, LI Qing-bin
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Bergman kernel and oscillation theory of plurisubharmonic functions [PDF]
, 2020 Bo-Yong Chen, Xu Wang
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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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On a method for constructing Bergman kernels [PDF]
, 1980 A. Azzam, Erwin Kreyszig
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Bergman-Szeg\H{o} kernel asymptotics in weakly pseudoconvex finite type cases [PDF]
, 2020 Chin-Yu Hsiao, Nikhil Savale
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Gaussian curvature of the Bergman metric with weighted Bergman kernel on the unit disc [PDF]
, 2012 Marzena Szajewska
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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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Weighted Composition Operators on a Bergman-type Reproducing Kernel Hilbert Space
, 2020 Ming Huo
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