Multi-resolution analysis in arbitrary Hilbert spaces

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Abstract

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.
Lingua originaleEnglish
pagine (da-a)299-315
Numero di pagine17
RivistaIL NUOVO CIMENTO DELLA SOCIETÀ ITALIANA DI FISICA. B
Volume116
Stato di pubblicazionePublished - 2001

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Hilbert space

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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title = "Multi-resolution analysis in arbitrary Hilbert spaces",
abstract = "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.",
author = "Fabio Bagarello",
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