Decomposition of refinable spaces and applications to operator equations (Q1315203)

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scientific article; zbMATH DE number 510202
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Decomposition of refinable spaces and applications to operator equations
scientific article; zbMATH DE number 510202

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    Decomposition of refinable spaces and applications to operator equations (English)
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    23 June 1994
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    This paper presents a brief survey of several recent applications of multilevel techniques, in particular, in connection with the solution of periodic pseudo-differential equations. It is pointed outthat these applications naturally lead to certain decompositions of refinable spaces which are induced by a class of linear projectors. Then recent results on the construction of such nonorthogonal wavelets are reviewed and extended to the particular needs of the present context.
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    survey
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    multilevel techniques
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    periodic pseudo-differential equations
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    decompositions of refinable spaces
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    linear projectors
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    nonorthogonal wavelets
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