DocumentCode :
919201
Title :
An extension of Szasz´s theorem and its application
Author :
Masry, Elias
Volume :
19
Issue :
2
fYear :
1973
fDate :
3/1/1973 12:00:00 AM
Firstpage :
184
Lastpage :
187
Abstract :
A classical result in signal theory is the completeness of the exponentials 
in 
, the so-called Szasz\´s theorem. This paper generalizes Szasz\´s theorem by constructing broad classes of functions 
such that the set of functions 
is complete in . Application to the problem of alias-free sampling of stochastic processes is considered.
in , the so-called Szasz\´s theorem. This paper generalizes Szasz\´s theorem by constructing broad classes of functions such that the set of functions is complete in . Application to the problem of alias-free sampling of stochastic processes is considered.Keywords :
Approximation methods; Hilbert spaces; Signal analysis; Signal sampling/reconstruction; Stochastic processes; Control theory; Hilbert space; Physics; Polynomials; Random processes; Sampling methods; Signal analysis; Signal sampling; Stochastic processes; Transfer functions;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.1973.1054979
Filename :
1054979
Link To Document :
