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{ "item_title" : "Smooth-Automorphic Forms & Smooth-Automorphic Representation", "item_author" : [" Grobner Harald "], "item_description" : "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.", "item_img_path" : "https://covers3.booksamillion.com/covers/bam/9/81/124/616/9811246165_b.jpg", "price_data" : { "retail_price" : "88.00", "online_price" : "88.00", "our_price" : "88.00", "club_price" : "88.00", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }
Smooth-Automorphic Forms & Smooth-Automorphic Representation|Grobner Harald

Smooth-Automorphic Forms & Smooth-Automorphic Representation

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Overview

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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Details

  • ISBN-13: 9789811246166
  • ISBN-10: 9811246165
  • Publisher: World Scientific Publishing Company
  • Publish Date: June 2023
  • Dimensions: 9 x 6 x 0.63 inches
  • Shipping Weight: 1.15 pounds
  • Page Count: 264

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