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- W4386011627 abstract "Abstract The weighted Szegő kernel was investigated in a few papers (see Nehari in J d’Analyse Mathématique 2:126–149, 1952; Alenitsin in Zapiski Nauchnykh Seminarov LOMI 24:16–28, 1972; Uehara and Saitoh in Mathematica Japonica 29:887–891, 1984; Uehara in Mathematica Japonica 42:459–469, 1995). In all of these, however, only continuous weights were considered. The aim of this paper is to show that the Szegő kernel depends in a continuous way on a weight of integration in the case when the weights are not necessarily continuous. A topology on the set of admissible weights will be constructed and Pasternak’s theorem (see Pasternak-Winiarski in Studia Mathematica 128:1, 1998) on the dependence of the orthogonal projector on a deformation of an inner product will be used in the proof of the main theorem." @default.
- W4386011627 created "2023-08-21" @default.
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- W4386011627 date "2023-08-20" @default.
- W4386011627 modified "2023-10-06" @default.
- W4386011627 title "Continuous Dependence of Szegő Kernel on a Weight of Integration" @default.
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- W4386011627 doi "https://doi.org/10.1007/s11785-023-01397-x" @default.
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