مشخصات پژوهش

The concept of frames, as a generalization of the bases in Hilbert spaces, were first introduced by Duffin and Schaeffer [3] during their study of nonharmonic Fourier series in 1952. In 1985, as the wavelet erea began, Daubechies, Grossman and Meyer [2] observed that frames can be used to find series expansions L2(R) which are very similar to the expansions using orthonormal bases. Now frame theory has been widely used in many fields such as filter bank theory, image processing, particularly in the more specialized context of wavelet frames and Gabor frames. Multipliers are operators which have important applications for signal processing and acoustics [5, 4]. Also woven and weaving Bessel sequences and frames is a very important and practical tools in the applications of frames [1]. In this study, we define the notion of multiplier for woven and weaving frames and we show that the properties of multiplier continuously depends on the chosen symbol sequence m and chosen two woven Bessel sequences. Further, we study the stability of woven frames under perturbation and its connectio