مشخصات پژوهش

Fusion frames are a very active area of research today because of their myriad of applications in pure mathematics, applied mathematics, engineering,medicine, signal and image processing and much more. Polynomially and exponentially localized frames with respect to a Riesz basis and also self-localized frames studied for improving the efficiency of frames. In this note, we define the concept of self-localized fusion frame and we show that the canonical dual fusion frame possesses the same intrinsic localization as the original fusion frame. We investigate the conditions under which a fusion frame is self-localized