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Wavelets in Banach Spaces |
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| Authors: | Vladimir V. Kisil |
| Affiliation: | (1) Department of Pure Mathematics, University of Leeds, Leeds LS2 9JT, U.K. e-mail |
| 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. |
| Keywords: | wavelets coherent states Banach spaces group representations covariant contravariant (Wick) symbols Heisenberg group Segal– Bargmann spaces Weyl functional calculus (quantization) second quantization bosonic field |
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