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Titlebook: p-adic Banach Space Representations; With Applications to Dubravka Ban Book 2022 The Editor(s) (if applicable) and The Author(s), under exc

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發(fā)表于 2025-3-21 16:22:31 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱p-adic Banach Space Representations
副標(biāo)題With Applications to
編輯Dubravka Ban
視頻videohttp://file.papertrans.cn/765/764602/764602.mp4
概述Provides numerous exercises for graduate students and readers interested in hands-on learning.Offers a comprehensive introduction to the representation theory of p-adic groups on p-adic Banach spaces.
叢書名稱Lecture Notes in Mathematics
圖書封面Titlebook: p-adic Banach Space Representations; With Applications to Dubravka Ban Book 2022 The Editor(s) (if applicable) and The Author(s), under exc
描述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..
出版日期Book 2022
關(guān)鍵詞Admissible Representations; p-adic Banach Space Representations; Principal Series Representations; Schn
版次1
doihttps://doi.org/10.1007/978-3-031-22684-7
isbn_softcover978-3-031-22683-0
isbn_ebook978-3-031-22684-7Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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0075-8434 resentation theory of p-adic groups on p-adic Banach spaces.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 dua
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978-3-031-22683-0The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Iwasawa AlgebrasIn this chapter, we define the Iwasawa algebra of a profinite group and study its properties.
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