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福州大学学报(自然科学版) 2016
有限维Hilbert空间中紧框架的构造
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Abstract:
讨论了R2上单位模紧框架的一些性质,以及R2上的单位模紧框架上可执行(r,k)手术的一个充要条件. 最后推广了R2上的单位模紧框架可执行((a-1)·(k+u),k)手术的条件,并举例说明.
We discuss some properties of unit-norm tight frames in R2,and give a necessary and sufficient condition for an (r,k)-surgery on unit-norm tight frames in R2. Finally,we generalize the condition under which a unit-norm tight frame can carry on the ((a-1)·(k+u),k)-surgery,and give an example to illustrate it