Locally analytic vectors in representations of locally p-adic analytic groups
Author(s)
Bibliographic Information
Locally analytic vectors in representations of locally p-adic analytic groups
（Memoirs of the American Mathematical Society, no. 1175）
American Mathematical Society, 2017
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Note
"Volume 248, number 1175 (first of 5 numbers), July 2017"
Bibliography: p. 157-158
Description and Table of Contents
Description
The 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.
Table of Contents
Introduction
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.
by "Nielsen BookData"