Sampling series for band-limited generalized functions

1 November 1971

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Information Theory

Vol. 17 (6) , 650-654
https://doi.org/10.1109/tit.1971.1054716

Abstract

For an arbitrary band-limited generalized functionH(t)a representation is obtained that is a combination of a Taylor series and a conventional sampling series. A parameterNthat enters can be chosen such as to make the series rapidly convergent. Furthermore, it is shown that, for suitably restricted test functions,H(t)can be represented by a conventional sampling series and by a series of delta functions with weights equal to the sampling values. The results apply also to ordinary band-limited functions.

Keywords

This publication has 4 references indexed in Scilit:

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