{"product_id":"9780817641382","title":"Progress in Mathematics","description":"\u003ch1\u003eProgress in Mathematics\u003c\/h1\u003e \u003ch2\u003eFaraut, Jacques; Kaneyuki, Soji; Koranyi, Adam; Lu, Qi-keng; Roos, Guy\u003c\/h2\u003e \u003cp\u003eA number of important topics in complex analysis and geometry are \ncovered in this excellent introductory text.  Written by experts in \nthe subject, each chapter unfolds from the basics to the more complex. \nThe exposition is rapid-paced and efficient, without compromising \nproofs and examples that enable the reader to grasp the essentials. \nThe most basic type of domain examined is the bounded symmetric \ndomain, originally described and classified by Cartan and Harish- \nChandra.  Two of the five parts of the text deal with these domains: \none introduces the subject through the theory of semisimple Lie \nalgebras (Koranyi), and the other through Jordan algebras and triple \nsystems (Roos).  Larger classes of domains and spaces are furnished by \nthe pseudo-Hermitian symmetric spaces and related R-spaces. These \nclasses are covered via a study of their geometry and a presentation \nand classification of their Lie algebraic theory (Kaneyuki). \nIn the fourth part of the book, the heat kernels of the symmetric \nspaces belonging to the classical Lie groups are determined (Lu). \nExplicit computations are made for each case, giving precise results \nand complementing the more abstract and general methods presented. \nAlso explored are recent developments in the field, in particular, the \nstudy of complex semigroups which generalize complex tube domains and \nfunction spaces on them (Faraut). \nThis volume will be useful as a graduate text for students of Lie \ngroup theory with connections to complex analysis, or as a self-study \nresource for newcomers to the field.  Readers will reach the frontiers \nof the subject in a considerably shorter time than with existing \ntexts.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Birkhäuser\u003c\/p\u003e \u003cp\u003ePublication Date: 1999-12-10\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9780817641382\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-1-4612-1366-6\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 540\u003c\/p\u003e ","brand":"Birkhäuser Boston","offers":[{"title":"Default Title","offer_id":46541438976140,"sku":"9780817641382","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9780817641382.jpg?v=1775736227","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9780817641382","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}