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Positive definite maps, representations and frames

Dorin Ervin Dutkay
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Abstract

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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Dorin Ervin Dutkay. 2005-11-05. Positive definite maps, representations and frames. https://arxiv.org/abs/math/0511137

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