Title :
A study on the stability of g-continuous frames
Author :
Wang, Gang ; Wang, Bao-Qin ; Fu, Yue-xia
Author_Institution :
Sch. of Math-Phys. & Inf. Sci., Xinjiang Normal Univ., Urumqi, China
Abstract :
Generalized continuous frames are natural generalization of continuous and discrete frames in Hilbert space which include many recent generalization of frames. In this paper, we study the stability of generalized continuous frames, several meaningful results are obtained.
Keywords :
Hilbert spaces; Hilbert space; discrete frame generalization; generalized continuous frame stability; Continuous wavelet transforms; Discrete wavelet transforms; Extraterrestrial measurements; Hilbert space; Information analysis; Pattern analysis; Pattern recognition; Stability analysis; Sufficient conditions; Wavelet analysis; Canonical Dual Frame; Continuous Frame; Frame Operator; Generalized Continuous Frame; Generalized Frame; Stability;
Conference_Titel :
Wavelet Analysis and Pattern Recognition, 2009. ICWAPR 2009. International Conference on
Conference_Location :
Baoding
Print_ISBN :
978-1-4244-3728-3
Electronic_ISBN :
978-1-4244-3729-0
DOI :
10.1109/ICWAPR.2009.5207495
