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‣ Wavelets in Banach Spaces
Kisil, Vladimir V.
Fonte: Universidade Cornell Publicador: Universidade Cornell
Tipo: Artigo de Revista Científica
Português
Relevância na Pesquisa
109.22602%
#Mathematics - Functional Analysis#Mathematical Physics#Mathematics - Complex Variables#Mathematics - Representation Theory#Quantum Physics#43A85 (Primary)#32M99, 43A32, 46E10, 47A60, 47A67, 47C99, 81R30, 81S10 (Secondary)
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.; Comment: 37 pages; LaTeX2e; no pictures; 27/07/99: many small corrections