Ontology type: schema:ScholarlyArticle Open Access: True
2019-04
AUTHORSYing-Fen Lin, Jean Ludwig, Carine Molitor-Braun
ABSTRACTWe establish a Fourier inversion theorem for general connected, simply connected nilpotent Lie groups G=exp(g) by showing that operator fields defined on suitable sub-manifolds of g∗ are images of Schwartz functions under the Fourier transform. As an application of this result, we provide a complete characterisation of a large class of invariant prime closed two-sided ideals of L1(G) as kernels of sets of irreducible representations of G. More... »
PAGES345-376
http://scigraph.springernature.com/pub.10.1007/s00041-017-9586-y
DOIhttp://dx.doi.org/10.1007/s00041-017-9586-y
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