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- Title
AN ASPECT OF THE SAMPLING THEOREM.
- Authors
ZHOU, XINGWEI; SUN, WENCHANG
- Abstract
We give a sufficient condition for a function to belong to some sampling space. Also, we prove that a sampling space must be contained in another one which has a Riesz basis consisting of integer translations of a base function. Examples are given.
- Subjects
STATISTICAL sampling; MATHEMATICAL functions; RIESZ spaces; DIFFERENTIAL equations; MATHEMATICAL analysis
- Publication
International Journal of Wavelets, Multiresolution & Information Processing, 2005, Vol 3, Issue 2, p247
- ISSN
0219-6913
- Publication type
Article
- DOI
10.1142/S021969130500083X