{"product_id":"9783031226830-padic-banach-space-representations","title":"p-adic Banach Space Representations","description":"\u003cmeta content=\"text\/html; charset=utf-8\" http-equiv=\"Content-Type\"\u003e\u003cp\u003e\u003cspan\u003eWith Applications to Principal Series\u003cbr\u003eThis book systematically develops the theory of continuous representations on \u003ci\u003ep\u003c\/i\u003e-adic Banach spaces.\u003cbr\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\u003cbr\u003e\u003cbr\u003e\u003c\/span\u003e\u003c\/p\u003e","brand":"Rarewaves","offers":[{"title":"Default Title","offer_id":40793590956129,"sku":"9783031226830","price":57.89,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0092\/7504\/8033\/files\/orig_27872284.jpg?v=1722924764","url":"https:\/\/www.rarewaves.com\/products\/9783031226830-padic-banach-space-representations","provider":"Rarewaves.com","version":"1.0","type":"link"}