{"product_id":"introductory-lectures-on-automorphic-forms-9780691646091","title":"Introductory Lectures on Automorphic Forms","description":"\u003cp\u003eIntended as an introductory guide, this work takes for its subject complex, analytic, automorphic forms and functions on (a domain equivalent to) a bounded domain in a finite-dimensional, complex, vector space, usually denoted Cn). \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003ePart I, essentially elementary, deals with complex analytic automorphic forms on a bounded domain; it presents H. Cartan's proof of the existence of the projective imbedding of the compact quotient of such a domain by a discrete group. Part II treats the construction and properties of automorphic forms with respect to an arithmetic group acting on a bounded symmetric domain; this part is highly technical, and based largely on relevant results in functional analysis due to Godement and Harish-Chandra. In Part III, Professor Baily extends the discussion to include some special topics, specifically, the arithmetic propertics of Eisenstein series and their connection with the arithmetic theory of quadratic forms. \u003cp\u003e\u003c\/p\u003eUnlike classical works on the subject, this book deals with more than one variable, and it differs notably in its treatment of analysis on the group of automorphisms of the domain. It is concerned with the case of complex analytic automorphic forms because of their connection with algebraic geometry, and so is distinct from other modern treatises that deal with automorphic forms on a semi-simple Lie group. \u003cp\u003e\u003c\/p\u003eHaving had its inception as graduate- level lectures, the book assumes some knowledge of complex function theory and algebra, for the serious reader is expected to supply certain details for himself, especially in such related areas as functional analysis and algebraic groups. \u003cp\u003e\u003c\/p\u003eOriginally published in 1973. \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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Walter L. Baily\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Princeton University Press\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 04\/19\/2016\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 280\u003cbr\u003e\u003cb\u003eBinding Type:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.25lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.69d\u003cbr\u003e\u003cb\u003eISBN:\u003c\/b\u003e 9780691646091","brand":"Princeton University Press","offers":[{"title":"Hardcover","offer_id":40088177049715,"sku":"9.78E+12","price":129.95,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0555\/9255\/0515\/products\/img_404cbe79-a8a0-4527-b57d-71bf873cbcc6.jpg?v=1652624857","url":"https:\/\/bookstorenmore.com\/products\/introductory-lectures-on-automorphic-forms-9780691646091","provider":"Bookstore N More","version":"1.0","type":"link"}