Multi-Resolution Analysis in Arbitrary Hilbert Spaces

Details Multi-Resolution Analysis in Arbitrary Hilbert Spaces Multi-Resolution Analysis in Arbitrary Hilbert Spaces

1997-01-30

arxiv.org/abs/funct-an/9701013v1

Mathematics

Functional Analysis

LaTeX v2.09. sent to J. Math. Phys

Scientific paper

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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