Fusion frames; basics, applications and its some extensions

In the introduction chapter of this thesis consisting of five chapters some general evaluations have been done about the subject and then literature summary have been presented.In the second chapter, the basics definitions, concepts, theorems and examples which will be useful in the next chapters have been given.In the third chapter, some basics concepts and theorems about bases, Bessel sequences and frames have been given.In the fourth chapter concept of fusion frame is introduced. Further some important relations between frames and fusion frames have been showed and foundations of fusion frames have been presented.In the fifth and final chapter an actual application of fusion frames have been stated.