2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77204We 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.37 pages; LaTeX2e; no pictures; 27/07/99: many small correctionsFunctional AnalysisMathematical PhysicsComplex VariablesRepresentation TheoryQuantum Physics43A85 (Primary); 32M99, 43A32, 46E10, 47A60, 47A67, 47C99, 81R30, 81S10 (Secondary)text