منابع مشابه
Methods of solving dilation equations †
Abstract: A wavelet basis is an orthonormal basis for L(R), the space of square-integrable functions on the real line, of the form {gnk}n,k∈Z, where gnk(t) = 2 n/2 g(2t − k) and g is a single fixed function, the wavelet. Each multiresolution analysis for L(R) determines such a basis. To find a multiresolution analysis, one can begin with a dilation equation f(t) = ∑ ck f(2t− k). If the solution...
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ژورنال
عنوان ژورنال: The Annals of Mathematical Statistics
سال: 1941
ISSN: 0003-4851
DOI: 10.1214/aoms/1177731719