A new class of refinable functions extending the GP class is presented. It is characterized by a symbol with fractional exponent that gives rise to non-compactly supported refinable functions with decay and the stability properties of these refinable functions allow them to generate a multiresolution analysis (MRA) of L^2(R). The fractional refinable functions introduced here show a surprising order of exactness.
On a New Class of Multiresolution Analyses Generated by Fractional Refinable Functions / Pezza, Laura. - ELETTRONICO. - 14:(2004), pp. 1-11.
On a New Class of Multiresolution Analyses Generated by Fractional Refinable Functions.
PEZZA, Laura
2004
Abstract
A new class of refinable functions extending the GP class is presented. It is characterized by a symbol with fractional exponent that gives rise to non-compactly supported refinable functions with decay and the stability properties of these refinable functions allow them to generate a multiresolution analysis (MRA) of L^2(R). The fractional refinable functions introduced here show a surprising order of exactness.File allegati a questo prodotto
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