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Journal article

Exponential B-splines and the partition of unity property

From

Department of Mathematics, Technical University of Denmark1

Applied functional analysis, Department of Mathematics, Technical University of Denmark2

Technical University of Munich3

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.

Language: English
Publisher: Springer US
Year: 2012
Pages: 301-318
ISSN: 15729044 and 10197168
Types: Journal article
DOI: 10.1007/s10444-011-9208-1
ORCIDs: Christensen, Ole

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