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.
Bagarello, F. (2001). Multi-resolution analysis in arbitrary Hilbert spaces. IL NUOVO CIMENTO DELLA SOCIETÀ ITALIANA DI FISICA. B, 116(3), 299-315.
Multi-resolution analysis in arbitrary Hilbert spaces
BAGARELLO, Fabio
2001-01-01
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.
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