Title
Exponential B-splines and the partition of unity property
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.
Year
DOI
Venue
2012
10.1007/s10444-011-9208-1
Adv. Comput. Math.
Keywords
Field
DocType
Frames,Dual frames,Exponential B-splines,42C15
Partition of unity,Exponential function,Multiplicative function,Mathematical analysis,Exponential polynomial,Exponential decay,Mathematics,Double exponential function,Exponential formula,Exponential growth
Journal
Volume
Issue
ISSN
37
3
1019-7168
Citations 
PageRank 
References 
5
0.92
1
Authors
2
Name
Order
Citations
PageRank
Ole Christensen1439.91
Peter Massopust2445.45