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 between the archimedean and
non-archimedean places of the number field F is regained, by making
the bigger space of smooth-automorphic forms into a proper,
continuous representation of the full group of adelic points of
G.Graduate students and researchers will find the covered topics
appear for the first time in a book, where the theory of
smooth-automorphic representations is robustly developed and
presented in great detail.
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