Average sampling and space-frequency localized frames on bounded domains

Pesenson Isaac Z.

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Average sampling and space-frequency localized frames on bounded domains

机译：有界域上的平均采样和空频局部帧

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摘要

The primary goal of the paper is to develop average sampling on bounded domains in Euclidean spaces. As an application of this development we construct bandlimited and localized frames on domains and describe a scale of Besov spaces in terms of frame coefficients. (C) 2015 Elsevier Inc. All rights reserved.

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来源
《Journal of complexity》 |2015年第5期|675-688|共14页
作者
Pesenson Isaac Z.;
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作者单位

Temple Univ, Dept Math, Philadelphia, PA 19122 USA;

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正文语种 eng
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关键词
Dirichlet boundary conditions; Second-order differential operators; Eigenfunctions; Average sampling; Frames;

机译：Dirichlet边界条件;二阶微分算子;特征函数;平均采样;框架;

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Average sampling and space-frequency localized frames on bounded domains

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