An algebraic approach to multiresolution analysis
نویسندگان
چکیده
منابع مشابه
An Algebraic Approach to Multiresolution Analysis
The notion of a weak multiresolution analysis is defined over an arbitrary field in terms of cyclic modules for a certain affine group ring. In this setting the basic properties of weak multiresolution analyses are established, including characterizations of their submodules and quotient modules, the existence and uniqueness of reduced scaling equations, and the existence of wavelet bases. Thes...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2005
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-05-03656-1