Abstract:
The present paper is concerned with orthorecursive expansions which are generalizations of orthogonal series to families of nonorthogonal wavelets, binary contractions and integer shifts of a given function φφ. It is established that, under certain not too rigid constraints on the function φφ, the expansion for any function f∈L2(R) converges to f in L2(R). Such an expansion method is stable with respect to errors in the calculation of the coefficients. The results admit a generalization to the n-dimensional case.
This publication is cited in the following 9 articles:
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