Study Of Some Properties For Redundacy Function

The concept of frame in Hilbert space was introduced by Du?n and Schae?er in1952. The frame is resemble with the basis while it is di?erent from the basis. Initiallyframe did not be developed well until wavelet analysis appearance. Nowdays frame hasbeen extensively applied in mathematics, engineering technology and physics, especiallyin signal processing, communication and image processing.Some properties of redundancy function are studied in the thesis. The thesis makesup of four chapters.Chapter 1 brie?y introduces the development on frame.Chapter 2 mostly presents some basic conceptions, the facts and theorems which areused throughout the paper.Chapter 3 investigates the properties of redundancy function in the infinite dimensionHilbert space.Chapter 4 studies the properties of redundancy function in the finite dimensionHilbert space.