Frames of exponentials:lower frame bounds for finite subfamilies, and approximation of the inverse frame operator

Ole Christensen; Alexander M Lindner

doi:10.1016/S0024-3795(00)00250-0

Frames of exponentials:lower frame bounds for finite subfamilies, and approximation of the inverse frame operator

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Abstract

We give lower frame bounds for finite subfamilies of a frame of exponentials {e(i lambdak(.))}k is an element ofZ in L-2(-pi,pi). We also present a method for approximation of the inverse frame operator corresponding to {e(i lambdak(.))}k is an element ofZ, where knowledge of the frame bounds for finite subfamilies is crucial. (C) 2001 Elsevier Science Inc. All rights reserved.

Original language	English
Journal	Linear Algebra and Its Applications
Volume	323
Issue number	1-3
Pages (from-to)	117-130
ISSN	0024-3795
DOIs	https://doi.org/10.1016/S0024-3795(00)00250-0
Publication status	Published - 2001

Keywords

frame
frame of exponentials
approximation of the inverse frame operator
lower frame bound

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10.1016/S0024-3795(00)00250-0

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AU - Lindner, Alexander M

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AB - We give lower frame bounds for finite subfamilies of a frame of exponentials {e(i lambdak(.))}k is an element ofZ in L-2(-pi,pi). We also present a method for approximation of the inverse frame operator corresponding to {e(i lambdak(.))}k is an element ofZ, where knowledge of the frame bounds for finite subfamilies is crucial. (C) 2001 Elsevier Science Inc. All rights reserved.

KW - frame

KW - frame of exponentials

KW - approximation of the inverse frame operator

KW - lower frame bound

U2 - 10.1016/S0024-3795(00)00250-0

DO - 10.1016/S0024-3795(00)00250-0

M3 - Journal article

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VL - 323

SP - 117

EP - 130

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - 1-3

ER -

Frames of exponentials:lower frame bounds for finite subfamilies, and approximation of the inverse frame operator

Abstract

Keywords

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