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

Access to Document

10.1007/s10444-011-9208-1

OpenUrl availability

Check availability in DTU Findit

Cite this

@article{075beffd2e354b49bebdf197163feacb,

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.",

keywords = "Frames, Dual frames, Exponential B-splines",

author = "Ole Christensen and Peter Massopust",

year = "2012",

doi = "10.1007/s10444-011-9208-1",

language = "English",

volume = "37",

pages = "301--318",

journal = "Advances in Computational Mathematics",

issn = "1019-7168",

publisher = "Springer Netherlands",

number = "3",

}

TY - JOUR

T1 - Exponential B-splines and the partition of unity property

AU - Christensen, Ole

AU - Massopust, Peter

PY - 2012

Y1 - 2012

N2 - 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.

AB - 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.

KW - Frames

KW - Dual frames

KW - Exponential B-splines

U2 - 10.1007/s10444-011-9208-1

DO - 10.1007/s10444-011-9208-1

M3 - Journal article

SN - 1019-7168

VL - 37

SP - 301

EP - 318

JO - Advances in Computational Mathematics

JF - Advances in Computational Mathematics

IS - 3

ER -

Exponential B-splines and the partition of unity property

Abstract

Keywords

Access to Document

OpenUrl availability

Fingerprint

Cite this