2018/11/30 by F. Gómez-Cubillo, Gómez-Cubillo, F., S. Wickramasekara +1
Mathematics · #43A65 #47L30 #Advanced Algebra and Geometry #Advanced Operator Algebra Research #Algebra over a field #Basis (linear algebra) #Computer science #Convolution (computer science) #Covariant transformation #FOS: Mathematics #Functional Analysis (math.FA) #Group (periodic table) #Hilbert space #Locally compact space #Mathematics #Operator Algebras (math.OA) #Pure mathematics #Spectral Theory in Mathematical Physics #Unitary state #math.FA #math.OA #msc:43A65 #msc:47L30
paper · pdf · doi:10.48550/arxiv.1812.00092
openalex publication_date 2018/11/30 · arxiv created 2019/11/11 · arxiv updated 2019/11/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Admissible vectors for unitary representations of locally compact groups are the basis for group-frame and covariant coherent state expansions. Main tools in the study of admissible vectors have been Plancherel and central integral decomposition, of applicability only under certain separability and semifiniteness restrictions. In this work we present a study of admissible vectors in terms of convolution Hilbert algebras valid for arbitrary unitary representations of general locally compact groups.