ON A CLASS OF FUNCTIONS ANALYTIC IN A HALF DISK AND AN ASSOCIATED INTERPOLATION PROBLEM

Authors
ALPAY D BOLOTNIKOV V
Citation
D. Alpay et V. Bolotnikov, ON A CLASS OF FUNCTIONS ANALYTIC IN A HALF DISK AND AN ASSOCIATED INTERPOLATION PROBLEM, Journal of mathematical analysis and applications, 182(1), 1994, pp. 1-22
Citations number
17
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
Journal title
Journal of mathematical analysis and applications → ACNP
ISSN journal
0022247X
Volume
182
Issue
1
Year of publication
1994
Pages
1 - 22
Database
ISI
SICI code
0022-247X(1994)182:1<1:OACOFA>2.0.ZU;2-H
Abstract
In this paper we introduce a class of functions analytic in a half dis k and for which the Nevanlinna-Pick interpolation problem has a soluti on in terms of a linear fractional transformation. The method used to solve this problem is that of the fundamental matrix inequality, suita bly adapted to the present situation. (C) 1994 Academic Press, Inc.