Title of article
Sums of Hilbert space frames
Author/Authors
Obeidat، نويسنده , , Sofian and Samarah، نويسنده , , Salti and Casazza، نويسنده , , Peter G. and Tremain، نويسنده , , Janet C.، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2009
Pages
7
From page
579
To page
585
Abstract
We give simple necessary and sufficient conditions on Bessel sequences { f i } and { g i } and operators L 1 , L 2 on a Hilbert space H so that { L 1 f i + L 2 g i } is a frame for H . This allows us to construct a large number of new Hilbert space frames from existing frames.
Keywords
Bessel sequence , Gabor frame , Frame operator , Hilbert space , Parseval frame
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2009
Journal title
Journal of Mathematical Analysis and Applications
Record number
1559683
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