{"title":"Roelof W Bruggeman","description":null,"products":[{"product_id":"families-of-automorphic-forms-book-roelof-w-bruggeman-9783034603355","title":"Families of Automorphic Forms","description":"Automorphic forms on the upper half plane have been studied for a long time. He extended Hecke's relation between automorphic forms and Dirichlet series to real analytic automorphic forms.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51630502936849,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ GARDNERS","offer_id":51630504116497,"sku":"NGR9783034603355","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52538357907729,"sku":"NLS9783034603355","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/3034603355.jpg?v=1750999451"},{"product_id":"fourier-coefficients-of-automorphic-forms-book-roelof-w-bruggeman-9783662182680","title":"Fourier Coefficients of Automorphic Forms","description":null,"brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52682565091601,"sku":"NLS9783662182680","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783662182680.jpg?v=1762318450"},{"product_id":"representations-of-su-2-1-in-fourier-term-modules-book-roelof-w-bruggeman-9783031431913","title":"Representations of SU(2,1) in Fourier Term Modules","description":"This book studies the modules arising in Fourier expansions of automorphic forms, namely Fourier term modules on SU(2,1), the smallest rank one Lie group with a non-abelian unipotent subgroup. It considers the “abelian” Fourier term modules connected to characters of the maximal unipotent subgroups of SU(2,1), and also the “non-abelian” modules, described via theta functions. A complete description of the submodule structure of all Fourier term modules is given, with a discussion of the consequences for Fourier expansions of automorphic forms, automorphic forms with exponential growth included. These results can be  applied to prove a completeness result for Poincaré series in spaces of square integrable automorphic forms. Aimed at researchers and graduate students interested in automorphic forms, harmonic analysis on Lie groups, and number-theoretic topics related to Poincaré series, the book will also serve as a basic reference on spectral expansion with Fourier-Jacobi coefficients. Only a background in Lie groups and their representations is assumed.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52772305862929,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ GARDNERS","offer_id":52772306190609,"sku":"NGR9783031431913","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783031431913.jpg?v=1763769381"}],"url":"https:\/\/www.worldofbooks.com\/collections\/author-books-by-roelof-w-bruggeman.oembed","provider":"World of Books ","version":"1.0","type":"link"}