6533b7d0fe1ef96bd125a413

RESEARCH PRODUCT

Multi-resolution analysis in arbitrary Hilbert spaces

Fabio Bagarello

subject

Mathematics - Functional Analysismulti resolution analysisFOS: MathematicsSettore MAT/07 - Fisica MatematicaComputer Science::DatabasesFunctional Analysis (math.FA)

description

We discuss the possibility of introducing a multi-resolution in a Hilbert space which is not necessarily a space of functions. We investigate which of the classical properties can be translated to this more general framework and the way in which this can be done. We comment on the procedure proposed by means of many examples.

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