Positive definite maps, representations and frames

Details Positive definite maps, representations and frames Positive definite maps, representations and frames

2005-11-05

arxiv.org/abs/math/0511137v1

Reviews in Mathematical Physics, vol. 16, No. 4 (2004)

Mathematics

Functional Analysis

Scientific paper

We present a unitary approach to the construction of representations and intertwining operators. We apply it to the $C^*$-algebras, groups, Gabor type unitary systems and wavelets. We give an application of our method to the theory of frames, and we prove a general dilation theorem which is in turn applied to specific cases, and we obtain in this way a dilation theorem for wavelets.

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