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
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
Journal title :
Journal of Mathematical Analysis and Applications
