Duals of controlled K-g-frames and some equalities

Controlled frames for spherical wavelets were introduced to get a numerically more efficient approximation algorithm. The notion of K-frames has been introduced to study atomic systems with respect to a bounded linear operator K on a Hilbert space H. In this paper motivating the concept of duals of controlled and Kframes, the concept of controlled K-g-dual pair and dual operator are introduced and some known equalities and inequalities satisfied with duals are presented. The applications of these duals are in signal and Image processing.

کلیدواژه ها:

Controlled g-frame ، controlled K-g-frame ، duals of controlled K-g-frames