فرخنده تخته

In the process of signal analysis, the concept of frame was introduced. This concept is used to encode signals. Also,the concept of dual frame was also introduced to retrieve the encoded signals. Although, from the theoretical point of view, the structure of dual frame has been specified,the exact formula for calculating the dual frame is generally impossible.Because of the importance of the dual frame, so far many researchers have studied on this concept. This thesis will focus on a larger order of frames which is called K-frame. The main purpose of this thesis is to provide a qualitative review for the family of K- dual frames corresponding of a K-frame. Moreover, In this thesis, we will study some features of K-frame and K-frame vector as well as ways to construct new K-frames from a given K-frame. An important point in the process of proving the results of this thesis is the use of operator theory techniques.