{"product_id":"fourier-analysis-on-local-fields-paperback","title":"Fourier Analysis on Local Fields - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eM. H. Taibleson\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis book presents a development of the basic facts about harmonic analysis on local fields and the \u003ci\u003en\u003c\/i\u003e-dimensional vector spaces over these fields. It focuses almost exclusively on the analogy between the local field and Euclidean cases, with respect to the form of statements, the manner of proof, and the variety of applications. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003eThe force of the analogy between the local field and Euclidean cases rests in the relationship of the field structures that underlie the respective cases. A complete classification of locally compact, non-discrete fields gives us two examples of connected fields (real and complex numbers); the rest are local fields (p-adic numbers, p-series fields, and their algebraic extensions). The local fields are studied in an effort to extend knowledge of the reals and complexes as locally compact fields. \u003cp\u003e\u003c\/p\u003eThe author's central aim has been to present the basic facts of Fourier analysis on local fields in an accessible form and in the same spirit as in Zygmund's \u003ci\u003eTrigonometric Series\u003c\/i\u003e (Cambridge, 1968) and in \u003ci\u003eIntroduction to Fourier Analysis on Euclidean Spaces\u003c\/i\u003e by Stein and Weiss (1971). \u003cp\u003e\u003c\/p\u003eOriginally published in 1975. \u003cp\u003e\u003c\/p\u003eThe \u003cb\u003ePrinceton Legacy Library\u003c\/b\u003e uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 308\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.65 x 9.21 x 6.14 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e March 08, 2015\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":47336849768697,"sku":"9780691618128","price":116.28,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0789\/2782\/3097\/files\/UUpCNUltS0lDVG9zTGFmL3k4UGFydz09.webp?v=1769671403","url":"https:\/\/bookscloud.io\/products\/fourier-analysis-on-local-fields-paperback","provider":"BooksCloud Book Dropshipping","version":"1.0","type":"link"}