OSCILLATORY PROPERTIES OF PALEY-WIENER FUNCTIONS

Authors
WALKER WJ
Citation
Wj. Walker, OSCILLATORY PROPERTIES OF PALEY-WIENER FUNCTIONS, Indian Journal of Pure and Applied Mathematics, 25(12), 1994, pp. 1253-1258
Citations number
8
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Indian Journal of Pure and Applied Mathematics → ACNP
ISSN journal
00195588
Volume
25
Issue
12
Year of publication
1994
Pages
1253 - 1258
Database
ISI
SICI code
0019-5588(1994)25:12<1253:OPOPF>2.0.ZU;2-7
Abstract
We obtain sufficient conditions for a Paley-Wiener function, which is real-valued on the real axis, to have a derivative with infinitely man y real zeros. In general this may be a deep problem because a Paley-Wi ener function can be positive on the real axis. We also expand on a pa per of Kulkami which discusses Paley-Wiener functions which are comple x-valued on the real axis.