Frames of Periodic Shift-Invariant Spaces

Di Rong Chen

doi:10.1006/jath.2000.3486

Frames of Periodic Shift-Invariant Spaces

Di Rong Chen^*

^*此作品的通讯作者

数学科学学院

科研成果: 期刊稿件 › 文章 › 同行评审

5 引用（Scopus）

摘要

This note studies Bessel sequences and frames of shift-invariant spaces generated by a countable set of periodic functions. We give characterizations under which the set of translations of the countable set is a Bessel sequence or a frame in terms of spectral decompositions of some self-adjoint operators.

源语言	英语
页（从-至）	204-211
页数	8
期刊	Journal of Approximation Theory
卷	107
期	2
DOI	https://doi.org/10.1006/jath.2000.3486
出版状态	已出版 - 12月 2000

访问文件

10.1006/jath.2000.3486

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{b8f5efd12f8149dab17f440fad70e0ab,

title = "Frames of Periodic Shift-Invariant Spaces",

abstract = "This note studies Bessel sequences and frames of shift-invariant spaces generated by a countable set of periodic functions. We give characterizations under which the set of translations of the countable set is a Bessel sequence or a frame in terms of spectral decompositions of some self-adjoint operators.",

keywords = "Bessel sequence, Frame, Shift-invariant space",

author = "Chen, \{Di Rong\}",

year = "2000",

month = dec,

doi = "10.1006/jath.2000.3486",

language = "英语",

volume = "107",

pages = "204--211",

journal = "Journal of Approximation Theory",

issn = "0021-9045",

publisher = "Academic Press Inc.",

number = "2",

}

TY - JOUR

T1 - Frames of Periodic Shift-Invariant Spaces

AU - Chen, Di Rong

PY - 2000/12

Y1 - 2000/12

N2 - This note studies Bessel sequences and frames of shift-invariant spaces generated by a countable set of periodic functions. We give characterizations under which the set of translations of the countable set is a Bessel sequence or a frame in terms of spectral decompositions of some self-adjoint operators.

AB - This note studies Bessel sequences and frames of shift-invariant spaces generated by a countable set of periodic functions. We give characterizations under which the set of translations of the countable set is a Bessel sequence or a frame in terms of spectral decompositions of some self-adjoint operators.

KW - Bessel sequence

KW - Frame

KW - Shift-invariant space

UR - https://www.scopus.com/pages/publications/0347013941

U2 - 10.1006/jath.2000.3486

DO - 10.1006/jath.2000.3486

M3 - 文章

AN - SCOPUS:0347013941

SN - 0021-9045

VL - 107

SP - 204

EP - 211

JO - Journal of Approximation Theory

JF - Journal of Approximation Theory

IS - 2

ER -

Frames of Periodic Shift-Invariant Spaces

摘要

访问文件

其它文件与链接

指纹

引用此