Integral representations for some classes of functions holomorphic in a Siegel domain
type: Item
instance of: scholarly article
title: Integral representations for some classes of functions holomorphic in a Siegel domain
zbMATH Open document ID: 0791.32004
author: Mkhitar M. Djrbashian
author: Arman H. Karapetyan
published in: Journal of Mathematical Analysis and Applications
publication date: 1994-02-07T00:00:00Z
review text: The authors establish an integral representation for certain holomorphic functions in a Siegel domain in \(\mathbb{C}^ N\). It is obtained from the corresponding representation relative to the unit ball through a biholomorphism (Cayley transform). [Cfr. \textit{F. Forelli} and \textit{W. Rudin}, Indiana Univ. Math. J. 24, 593-602 (1974; Zbl 0297.47041)]. Applied to integrable functions, it is a continuous projection onto the corresponding space of holomorphic functions.
Mathematics Subject Classification ID: 32A25
zbMATH DE Number: 495322
zbMATH Keywords: integral representation
zbMATH Keywords: Siegel domain
reviewed by: Edwin J. Akutowicz
MaRDI profile type: Publication
full work available at URL: jmaa.1993.1337
OpenAlex ID: W2007134989
DOI: 10.1006/JMAA.1993.1337
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description: scientific article; zbMATH DE number 495322