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
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