Unitary And Noncommutative Wavelet

The classical wavelet theory is the study of certain well behaved function orthogonal basis of Hilbert spaces of functions. In this article, we use noncommutative wavelet method to construct wavelet basis. We showed that in noncommutative case, orthonormal base vectors can be chosen to be unitary operators of any fix order. We use our unitary basis on an operator algebra to study of representations of two dimensional functions and discuss certain convergence. Next, we construct a group of unitary basis on, and form the unitary basis on by tensor product. By this group basis we decompose image, and coefficient matrix which we get by decomposing image is used to encipher and hide image information.