Exponential B-splines and the partition of unity property

Ole Christensen; Peter Massopust

doi:10.1007/s10444-011-9208-1

Exponential B-splines and the partition of unity property

Ole Christensen, Peter Massopust

Technical University of Munich

Research output: Contribution to journal › Journal article › Research › peer-review

Abstract

We provide an explicit formula for a large class of exponential B-splines. Also, we characterize the cases where the integer-translates of an exponential B-spline form a partition of unity up to a multiplicative constant. As an application of this result we construct explicitly given pairs of dual Gabor frames.

Original language	English
Journal	Advances in Computational Mathematics
Volume	37
Issue number	3
Pages (from-to)	301-318
ISSN	1019-7168
DOIs	https://doi.org/10.1007/s10444-011-9208-1
Publication status	Published - 2012

Keywords

Frames
Dual frames
Exponential B-splines

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10.1007/s10444-011-9208-1

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KW - Dual frames

KW - Exponential B-splines

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M3 - Journal article

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JO - Advances in Computational Mathematics

JF - Advances in Computational Mathematics

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Exponential B-splines and the partition of unity property

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