Characterizations of Irregular Multigenerator Gabor Frame on Periodic Subsets of ℝ

We consider the multigenerator system {EmblTnalφl,m,n∈ℤ, l=0,…,r-1} for φ0,…,φr-1∈L2(𝕊) and a0,b0,…,ar-1, br-1>0, where the parameters b0,…,br-1>0 are not necessary the same. With the help of frame theory, we provide some sufficient or necessary conditions for the system to be a frame for L2(𝕊...

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Sonraí bibleagrafaíochta
Príomhchruthaitheoirí: D. H. Yuan, Y. Feng, Y. F. Shen, S. Z. Yang
Formáid: Alt
Teanga:English
Foilsithe / Cruthaithe: Hindawi Limited 2012-01-01
Sraith:Abstract and Applied Analysis
Rochtain ar líne:http://dx.doi.org/10.1155/2012/746823