Wavelets in Banach Spaces
| dc.creator | Kisil, Vladimir V. | |
| dc.date | 1998-07-25 | |
| dc.date | 1999-07-27 | |
| dc.date.accessioned | 2026-07-07T05:25:30Z | |
| dc.date.available | 2026-07-07T05:25:30Z | |
| dc.description | 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. | |
| dc.description | 37 pages; LaTeX2e; no pictures; 27/07/99: many small corrections | |
| dc.identifier | https://arxiv.org/abs/math/9807141 | |
| dc.identifier | http://arxiv.org/abs/math/9807141 | |
| dc.identifier | Acta Appl. Math. 59(1999), no. 1, pp. 79--109 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77204 | |
| dc.subject | Functional Analysis | |
| dc.subject | Mathematical Physics | |
| dc.subject | Complex Variables | |
| dc.subject | Representation Theory | |
| dc.subject | Quantum Physics | |
| dc.subject | 43A85 (Primary); 32M99, 43A32, 46E10, 47A60, 47A67, 47C99, 81R30, 81S10 (Secondary) | |
| dc.title | Wavelets in Banach Spaces | |
| dc.type | text |