Representations of SU(2,1) in Fourier Term Modules
Av Roberto J. Miatello, Roelof W. Bruggeman, 2023.Del av serien Lecture Notes in Mathematics.
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.
Ved å fullføre kjøpet aksepterer jeg kjøpsvilkårene.
Ikke tilgjengelig for Klikk&Hent
På nettlager. Bestilles fra England. Leveres normalt innen 5-8 virkedager.
Representations of SU(2,1) in Fourier Term Modules
Av Roberto J. Miatello, Roelof W. Bruggeman, 2023.Del av serien Lecture Notes in Mathematics.
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.
Ved å fullføre kjøpet aksepterer jeg kjøpsvilkårene.
Ikke tilgjengelig for Klikk&Hent
På nettlager. Bestilles fra England. Leveres normalt innen 5-8 virkedager.
Ved å fullføre kjøpet aksepterer du kjøpsvilkårene.
