Continuous Wavelet Weaving Frames and Their Properties
The continuous wavelet weaving frame in Hilbert space is a generalisation of the continuous wavelet frame and the weaving frame.In this paper,based on the existing literature,we study the construction of continuous wavelet weaving frames in Hilbert spaces and their related properties.The continuous wavelet weaving frame is constructed by means of a bounded linear operator and some properties of its own structure are discussed;the relationship between the parametrization of the continuous wavelet frame operator and the weaving frame is investigated;a sufficient condition between the continuous wavelet weaving frame and the continuous weaving frame is obtained with the help of analytic operators;and finally,the stability of the continuous wavelet weaving frame is proved under the perturbation of the series.
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