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arXiv 1006.2678math.FA
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无限框架冗余度的一个定量概念

A quantitative notion of redundancy for infinite frames

Jameson Cahill, Peter G. Casazza, Andreas Heinecke

摘要:

Bodmann、Casazza和Kutyniok引入了有限框架冗余度的定量概念--他们称之为{ \em上下冗余度} --这与对希尔伯特空间中有限框架冗余度的直观理解更吻合。本文的目的是看看这个理论有多少推广到无限框架。

英文摘要:

Bodmann, Casazza and Kutyniok introduced a quantitative notion of redundancy for finite frames - which they called {\em upper and lower redundancies} - that match better with an intuitive understanding of redundancy for finite frames in a Hilbert space. The objective of this paper is to see how much of this theory generalizes to infinite frames.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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