Seperated and joint Gevrey vectors for representations of Lie groups

A.F.M. Elst, ter

Research output: Chapter in Book/Report/Conference proceedingChapterAcademic

Abstract

We prove that for every Lie group there exists a basis in its Lie algebra such that for each ¿=1 and each of its unitary representations. The separate and joint Gevrey vectors of order ¿ coincide. As a corollary we obtain that a vector is a Gevrey vector if, and only if, the corresponding positive definite function is a Gevrey function.
Original languageEnglish
Title of host publicationCircumspice: Various papers in and around mathematics in honor of Arnoud van Rooij
Place of PublicationNijmegen
PublisherRadboud Universiteit Nijmegen
Pages221-232
ISBN (Print)90-9014762-4
Publication statusPublished - 2001

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