2009/08/27 by Ingrid Beltiţă, Beltita, Ingrid, Daniel Beltiţă +1
Earth and Planetary Sciences · Mathematics · #22E25 #22E27 #35S05 (Secondary) #47G30 (Primary) #Advanced Algebra and Geometry #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Representation Theory (math.RT) #Seismic Imaging and Inversion Techniques
paper · pdf · doi:10.48550/arxiv.0908.3917
openalex publication_date 2009/08/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate continuity properties of operators obtained as values of the Weyl correspondence constructed by N.V. Pedersen (Invent. Math. 118 (1994), 1--36) for arbitrary irreducible representations of nilpotent Lie groups. To this end we introduce modulation spaces for such representations and establish some of their basic properties. The situation of square integrable representations is particularly important and in the special case of the Schrödinger representation of the Heisenberg group we recover the classical modulation spaces used in the time-frequency analysis.