98-542 Kisil V.V.

Wavelets in Banach Spaces (47K, LATeX 2e) Jul 28, 98

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Abstract. We describe a construction of wavelets (coherent states) in Banach spaces generated by ``admissible'' group representations. Our main targets are applications in pure mathematics while connections with quantum mechanics are mentioned. As an example we consider operator valued Segal-Bargmann type spaces and the Weyl functional calculus.

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