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The Bergman kernel: explicit formulas, deflation, Lu Qi-Keng problem and Jacobi Polynomials

Published 12 Jan 2016 in math.CV | (1601.02989v1)

Abstract: In this paper we investigate the Bergman kernel function for intersection of two complex ellipsoids ${(z,w_1,w_2) \in \mathbb{C}{n+2} : |z_1|2 + \cdots + |z_n|2 + |w_1|q < 1, \quad |z_1|2 + \cdots + |z_n|2 + |w_2|r < 1}.$

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Authors (1)

  1. Tomasz Beberok 

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