Results 51 to 60 of about 233 (146)

A note on the Bergman Kernel

open access: yesComptes 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.
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The Role of Levodopa Challenge in Predicting the Outcome of Subthalamic Deep Brain Stimulation. [PDF]

open access: yesMov Disord Clin Pract, 2023
Wolke R   +10 more
europepmc   +1 more source

The Bergman kernel on forms: General theory

open access: yesProceedings 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

open access: yes, 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

open access: yesComplex Variables, Theory and Application: An International Journal, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

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