Author : Dubravka Ban
Release : 2023-02-11
Genre : Mathematics
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Book Rating : 844/5 ( reviews)

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p-adic Banach Space Representations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook p-adic Banach Space Representations write by Dubravka Ban. This book was released on 2023-02-11. p-adic Banach Space Representations available in PDF, EPUB and Kindle. 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.