Bergman function, Genchev transform and L²-angles, for multidimensional tubes

Hyb Wojciech

  • Publisher: Instytut Matematyczny Polskiej Akademi Nauk(Warszawa), 1996

Abstract

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CONTENTS1. Introduction.......................................................................................................52. Basic definitions, notations and facts................................................................63. Definitions of the Genchev transform................................................................84. Basic properties of the Genchev transform......................................................115. Some properties of the weight w B ..............................................................166. The Bergman function of a tube domain..........................................................227. The Bergman space on a convex tube.............................................................268. On L²-holomorphic continuation of a function from the Bergman space...........319. L²-angles between multidimensional tubes.......................................................3910. Calculations of some L²-angles between tube domains..................................58References...........................................................................................................631991 Mathematics Subject Classification: 32H10, 42B10, 32A07, 46E22.

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Hyb Wojciech. Bergman function, Genchev transform and L²-angles, for multidimensional tubes. Warszawa: Instytut Matematyczny Polskiej Akademi Nauk, 1996. <http://eudml.org/doc/270070>.

@book{HybWojciech1996,
author = {Hyb Wojciech},
keywords = {Hilbert space of square integrable holomorphic functions; Fourier transform; Genchev transform; integral formula for the Bergman kernel; Bergman space; convex domain; Hardy space; holomorphic continuation; existence of -holomorphic continuation; -angles between tube domains},
language = {eng},
location = {Warszawa},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
title = {Bergman function, Genchev transform and L²-angles, for multidimensional tubes},
url = {http://eudml.org/doc/270070},
year = {1996},
}

TY - BOOK
AU - Hyb Wojciech
TI - Bergman function, Genchev transform and L²-angles, for multidimensional tubes
PY - 1996
CY - Warszawa
PB - Instytut Matematyczny Polskiej Akademi Nauk
LA - eng
KW - Hilbert space of square integrable holomorphic functions; Fourier transform; Genchev transform; integral formula for the Bergman kernel; Bergman space; convex domain; Hardy space; holomorphic continuation; existence of -holomorphic continuation; -angles between tube domains
UR - http://eudml.org/doc/270070
ER -

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