The Bergman kernel functions of certain unbounded domains

• Autorzy: Friedrich Haslinger
• Języki publikacji: EN

Abstrakty

EN

We compute the Bergman kernel functions of the unbounded domains $Ω_p = {(z',z) ∈ ℂ² : 𝕴z > p(z')}$, where $p(z') = |z'|^{α}/α$. It is also shown that these kernel functions have no zeros in $Ω_p$. We use a method from harmonic analysis to reduce the computation of the 2-dimensional case to the problem of finding the kernel function of a weighted space of entire functions in one complex variable.

Słowa kluczowe

EN

Bergman kernel; Szegő kernel

Kategorie tematyczne

• 32A07: Special domains (Reinhardt, Hartogs, circular, tube)
• 32A15: Entire functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1998
• Tom: 70
• Numer: 1
• Strony: 109-115

Daty

wydano

1998

otrzymano

1997-12-29

poprawiono

1998-08-14

Twórcy

autor

Friedrich Haslinger

• Institut für Mathematik, Universität Wien, Strudlhofgasse 4, A-1090 Wien, Austria

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