000 02356nam a22003498i 4500
001 CR9781316650332
003 UkCbUP
005 20200124160208.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 151019s2018||||enk o ||1 0|eng|d
020 _a9781316650332 (ebook)
020 _z9781107154001 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA353.A9
_bG37 2018
082 0 0 _a515/.9
_223
100 1 _aGarrett, Paul B.,
_eauthor.
245 1 0 _aModern analysis of automorphic forms by example.
_nVolume 1 /
_cPaul Garrett.
264 1 _aCambridge :
_bCambridge University Press,
_c2018.
300 _a1 online resource (xxii, 384 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge studies in advanced mathematics ;
_v173
500 _aTitle from publisher's bibliographic system (viewed on 14 Sep 2018).
520 _aThis is Volume 1 of a two-volume book that provides a self-contained introduction to the theory and application of automorphic forms, using examples to illustrate several critical analytical concepts surrounding and supporting the theory of automorphic forms. The two-volume book treats three instances, starting with some small unimodular examples, followed by adelic GL2, and finally GLn. Volume 1 features critical results, which are proven carefully and in detail, including discrete decomposition of cuspforms, meromorphic continuation of Eisenstein series, spectral decomposition of pseudo-Eisenstein series, and automorphic Plancherel theorem. Volume 2 features automorphic Green's functions, metrics and topologies on natural function spaces, unbounded operators, vector-valued integrals, vector-valued holomorphic functions, and asymptotics. With numerous proofs and extensive examples, this classroom-tested introductory text is meant for a second-year or advanced graduate course in automorphic forms, and also as a resource for researchers working in automorphic forms, analytic number theory, and related fields.
650 0 _aAutomorphic forms.
650 0 _aForms (Mathematics)
776 0 8 _iPrint version:
_z9781107154001
830 0 _aCambridge studies in advanced mathematics ;
_v173.
856 4 0 _uhttps://doi.org/10.1017/9781316650332
999 _c515497
_d515495