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OverviewThe goal of this memoir is to provide the foundations for the locally analytic representation theory that is required in three of the author's other papers on this topic. In the course of writing those papers the author found it useful to adopt a particular point of view on locally analytic representation theory: namely, regarding a locally analytic representation as being the inductive limit of its subspaces of analytic vectors (of various ``radii of analyticity''). The author uses the analysis of these subspaces as one of the basic tools in his study of such representations. Thus in this memoir he presents a development of locally analytic representation theory built around this point of view. The author has made a deliberate effort to keep the exposition reasonably self-contained and hopes that this will be of some benefit to the reader. Full Product DetailsAuthor: Matthew J. EmertonPublisher: American Mathematical Society Imprint: American Mathematical Society Weight: 0.260kg ISBN: 9780821875629ISBN 10: 0821875620 Pages: 158 Publication Date: 30 June 2017 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsIntroduction Non-archimedean functional analysis Non-archimedean function theory Continuous, analytic, and locally analytic vectors Smooth, locally finite, and locally algebraic vectors Rings of distributions Admissible locally analytic representations Representations of certain product groups Bibliography.ReviewsAuthor InformationMatthew J. Emerton, University of Chicago, IL. Tab Content 6Author Website:Countries AvailableAll regions |
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