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UNCERTAINTY PRINCIPLE FOR RATIONAL FUNCTIONS IN HARDY SPACE

Citation Author(s):
Li Chai, Jingxin Zhang
Submitted by:
Dan Xiong
Last updated:
13 April 2018 - 12:55am
Document Type:
Poster
Document Year:
2018
Event:
Presenters Name:
Dan Xiong
Paper Code:
SPTM-P5.5

Abstract 

Abstract: 

Uncertainty principles in finite dimensional vector space have been studied extensively, however they cannot be applied to sparse representation of rational functions. This paper considers the sparse representation for a rational function under a pair of orthonormal rational function bases. We prove the uncertainty principle concerning pairs of compressible representation of rational functions in the infinite dimensional function space. The uniqueness of compressible representation using such pairs is provided as a direct consequence of uncertainty principle.

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