Perturbation of frame sequences in shift-invariant spaces

Ole Christensen; Hong Oh Kim; Rae Young Kim; Jae Kun Lim

doi:10.1007/BF02922191

Perturbation of frame sequences in shift-invariant spaces

Ole Christensen, Hong Oh Kim, Rae Young Kim, Jae Kun Lim

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

Abstract

We prove a new perturbation criteria for frame sequences, which generalizes previous results and is easier to apply. In the special case of frames infinitely generated shift-invariant subspaces of L2(ℝd) the condition can be formulated in terms of the norm of a finite Gram matrix and a corresponding rank condition.

Original language	English
Journal	Journal of Geometric Analysis
Volume	15
Issue number	2
Pages (from-to)	181-191
ISSN	1050-6926
DOIs	https://doi.org/10.1007/BF02922191
Publication status	Published - 2005

Keywords

42C15
Frames
Shift-invariant spaces
Perturbation

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10.1007/BF02922191

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abstract = "We prove a new perturbation criteria for frame sequences, which generalizes previous results and is easier to apply. In the special case of frames infinitely generated shift-invariant subspaces of L2(ℝd) the condition can be formulated in terms of the norm of a finite Gram matrix and a corresponding rank condition.",

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AU - Kim, Hong Oh

AU - Kim, Rae Young

AU - Lim, Jae Kun

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AB - We prove a new perturbation criteria for frame sequences, which generalizes previous results and is easier to apply. In the special case of frames infinitely generated shift-invariant subspaces of L2(ℝd) the condition can be formulated in terms of the norm of a finite Gram matrix and a corresponding rank condition.

KW - 42C15

KW - Frames

KW - Shift-invariant spaces

KW - Perturbation

U2 - 10.1007/BF02922191

DO - 10.1007/BF02922191

M3 - Journal article

SN - 1050-6926

VL - 15

SP - 181

EP - 191

JO - Journal of Geometric Analysis

JF - Journal of Geometric Analysis

IS - 2

ER -

Perturbation of frame sequences in shift-invariant spaces

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Keywords

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