SMOOTH-AUTOMORPHIC FORMS & SMOOTH-AUTOMORPHIC REPRESENTATION
Harald Grobner
Gebundenes Buch

SMOOTH-AUTOMORPHIC FORMS & SMOOTH-AUTOMORPHIC REPRESENTATION

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This book provides a conceptual introduction into the representation theory of local and global groups, with final emphasis on automorphic representations of reductive groups G over number fields F. Our approach to automorphic representations differs from the usual literature: We do not consider "K-finite" automorphic forms, but we allow a richer class of smooth functions of uniform moderate growth. Contrasting the usual approach, our space of "smooth-automorphic forms" is intrinsic to the group scheme G/F. This setup also covers the advantage that a perfect representation-theoretical symmetry...