{"product_id":"p-adic-banach-space-representations-with-applications-to-principal-series-9783031226830","title":"P-Adic Banach Space Representations: With Applications to Principal Series","description":"\u003cp\u003e • Author(s): Dubravka Ban\u003cbr\u003e • Publisher: Springer Verlag\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • Subject: Mathematics and Statistics\u003cbr\u003e • BISAC: Group Theory\u003c\/p\u003e\u003cp\u003eThis book systematically develops the theory of continuous representations on \u003ci\u003ep\u003c\/i\u003e-adic Banach spaces. Its purpose is to lay the foundations of the representation theory of reductive \u003ci\u003ep\u003c\/i\u003e-adic groups on \u003ci\u003ep\u003c\/i\u003e-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, \u003ci\u003ep\u003c\/i\u003e-adic measures and distributions, \u003ci\u003ep\u003c\/i\u003e-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 \u003ci\u003ep\u003c\/i\u003e-adic Banach spaces.\u003cbr\u003eThis monograph is intended to serve both as a reference book and as an introductory text for graduate students and researchers entering the area.\u003cbr\u003e\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":45032152629399,"sku":"9783031226830","price":4315.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783031226830.webp?v=1769207739","url":"https:\/\/atlanticbooks.com\/products\/p-adic-banach-space-representations-with-applications-to-principal-series-9783031226830","provider":"Atlantic Books","version":"1.0","type":"link"}