Smooth-automorphic Forms and Smooth-automorphic Representations - Series on Number Theory and Its Applications - Grobner, Harald (University of Vienna, Austria) - Livros - World Scientific Publishing Co Pte Ltd - 9789811246166 - 18 de julho de 2023
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Smooth-automorphic Forms and Smooth-automorphic Representations - Series on Number Theory and Its Applications

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This book provides a thorough 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 is, however, different to what one usually finds in the literature: We do not restrict ourselves to considering 'K-finite' automorphic forms, but allow a richer class of only smooth functions. In this way, we regain a perfect symmetry between the archimedean and the non-archimedean places of our number field F, making our bigger space of 'smooth automorphic forms' a proper, continuous representation of the full group of adelic points of G. This book is a unique source, where a theory of 'smooth automorphic representations' is developed and presented in great detail.

Mídia Livros     Hardcover Book   (Livro com lombada e capa dura)
Lançado 18 de julho de 2023
ISBN13 9789811246166
Editoras World Scientific Publishing Co Pte Ltd
Páginas 264
Dimensões 150 × 220 × 20 mm   ·   521 g
Idioma Inglês  

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