2001/09/28 by Gianni Cassinelli, G. Cassinelli, E. De Vito +3
Mathematics · Physics and Astronomy · #42C40 #43A32 #43A85 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Combinatorics #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Geometry #Holomorphic and Operator Theory #Mathematical Physics (math-ph) #Mathematics #Modulo #Square (algebra) #math-ph #math.FA #math.MP #msc:42C40 #msc:43A32 #msc:43A85
paper · pdf · doi:10.48550/arxiv.math-ph/0109033
26 pages (Latex2e with amsmath package)
arxiv created 2001/09/28 · openalex publication_date 2001/09/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A new proof of Imprimitivity theorem for transitive systems of covariance is given and a definition of square-integrable representation modulo a subgroup is proposed. This clarifies the relation between coherent states, wavelet transforms and covariant localisation observables.