Abstract
We consider weighted generalization of the Szegö kernel. We show which conditions must a weight of integration satisfy in order for weighted Szegö kernel to exist. Then we show some properties of weighted Szegö kernel, including a direct formula for particular cases. At the end, we show how weighted Szegö kernel can be used to prove general theorems of complex analysis.
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Żynda, T.Ł. (2019). Weighted generalization of the Szegö kernel and how it can be used to prove general theorems of complex analysis. In: Kielanowski, P., Odzijewicz, A., Previato, E. (eds) Geometric Methods in Physics XXXVII. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-34072-8_23
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DOI: https://doi.org/10.1007/978-3-030-34072-8_23
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-030-34071-1
Online ISBN: 978-3-030-34072-8
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