ON THE COMPLETENESS OF THE SYSTEM OF FUNCTIONS (E(ALPHA(N+A))(X) SIN(N+A)X)(X)(N=0)

Authors
DOSTANIC MR
Citation
Mr. Dostanic, ON THE COMPLETENESS OF THE SYSTEM OF FUNCTIONS (E(ALPHA(N+A))(X) SIN(N+A)X)(X)(N=0), Journal of mathematical analysis and applications, 203(3), 1996, pp. 672-676
Citations number
12
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
Journal title
Journal of mathematical analysis and applications → ACNP
ISSN journal
0022247X
Volume
203
Issue
3
Year of publication
1996
Pages
672 - 676
Database
ISI
SICI code
0022-247X(1996)203:3<672:OTCOTS>2.0.ZU;2-U
Abstract
In this paper we prove the completeness of the system {e(alpha(n+a)) s in(n+a)x}(infinity)(n=0) in L(p)(0, pi)(p greater than or equal to 1) and also the completeness of more general systems {Im(phi(x))(n+a)}(in finity)(n=0) and {Re(phi(x))(n+a)}(infinity)(n=1) boolean OR {1} in L( p)(0, pi). (C) 1996 Academic Press, Inc.