The Features of Multiple Affine Fuzzy Quarternary Frames in Sobolev Space
نویسنده
چکیده
The concept of a generalized quarternary multiresolution struccture (GQMS) of space is formulated. A class of multiple affine quarternary pseudoframes for subspaces of 2 4 ( ) L R are introduced. The construction of a GQMS of Paley-Wiener subspaces of 2 4 ( ) L R is studied. The sufficient condition for the existence of pyramid decomposition scheme is presented based on such a GQMS. A sort of affine quarternary frames are constructed by virtue of the pyramid decomsition scheme and Fourier transform. We show how to draw new orthonormal bases for space 2 4 ( ) L R from these wavelet wraps.
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