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p adic Banach Space Representations Book PDF Summary

This book systematically develops the theory of continuous representations on p-adic Banach spaces. Its purpose is to lay the foundations of the representation theory of reductive p-adic groups on p-adic Banach spaces, explain the duality theory of Schneider and Teitelbaum, and demonstrate its applications to continuous principal series. Written to be accessible to graduate students, the book gives a comprehensive introduction to the necessary tools, including Iwasawa algebras, p-adic measures and distributions, p-adic functional analysis, reductive groups, and smooth and algebraic representations. Part 1 culminates with the duality between Banach space representations and Iwasawa modules. This duality is applied in Part 2 for studying the intertwining operators and reducibility of the continuous principal series on p-adic Banach spaces. This monograph is intended to serve both as a reference book and as an introductory text for graduate students and researchers entering the area.

Detail Book of p adic Banach Space Representations PDF

p adic Banach Space Representations
  • Author : Dubravka Ban
  • Release : 11 February 2023
  • Publisher : Springer Nature
  • ISBN : 9783031226847
  • Genre : Mathematics
  • Total Page : 219 pages
  • Language : English
  • PDF File Size : 11,5 Mb

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