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p-adic Banach Space Representations
- With Applications to Principal Series
Engelsk Paperback
p-adic Banach Space Representations
- With Applications to Principal Series
Engelsk Paperback

573 kr
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Om denne bog
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.
Product detaljer
Sprog:
Engelsk
Sider:
214
ISBN-13:
9783031226830
Indbinding:
Paperback
Udgave:
ISBN-10:
3031226836
Udg. Dato:
12 feb 2023
Længde:
20mm
Bredde:
302mm
Højde:
163mm
Forlag:
Springer International Publishing AG
Oplagsdato:
12 feb 2023
Forfatter(e):
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