Abstract
The concept of a generalized quarternary multiresolution struccture (GQMS) of space is formulated. A class of multiple affine quarternary pseudo- frames for subspaces of L 2(R 4) are introduced. The construction of a GQMS of Paley-Wiener subspaces of L 2(R 4) 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 L 2(R 4) from these wavelet wraps.
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Gao, H. (2011). The Features of Multiple Affine Fuzzy Quarternary Frames in Sobolev Space. In: Lin, S., Huang, X. (eds) Advances in Computer Science, Environment, Ecoinformatics, and Education. CSEE 2011. Communications in Computer and Information Science, vol 214. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23321-0_80
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DOI: https://doi.org/10.1007/978-3-642-23321-0_80
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-23320-3
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