INTERPOLATION AND DIVISIBILITY OF MEROMORPHIC MATRIX FUNCTIONS

Authors
RAKOWSKI M RODMAN L
Citation
M. Rakowski et L. Rodman, INTERPOLATION AND DIVISIBILITY OF MEROMORPHIC MATRIX FUNCTIONS, Journal of mathematical analysis and applications, 199(2), 1996, pp. 592-619
Citations number
36
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
Journal title
Journal of mathematical analysis and applications → ACNP
ISSN journal
0022247X
Volume
199
Issue
2
Year of publication
1996
Pages
592 - 619
Database
ISI
SICI code
0022-247X(1996)199:2<592:IADOMM>2.0.ZU;2-7
Abstract
We construct a meromorphic matrix function with given spectral data in the form of null and pole functions, coupling matrix, and left annihi lator at every point in the domain of definition of the function. Base d on these results, descriptions are given of minimal divisibility of meromorphic matrix functions in terms of restrictions (appropriately u nderstood) of their spectral data. (C) 1996 Academic Press, Inc.