Automorphic Forms on Semisimple Lie Groups [by] Harish-Chandra. Notes by J. G. M. Mars PDF Download
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Author: Harish-Chandra
Publisher:
ISBN:
Category : Functional equations
Languages : en
Pages : 138
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Book Description
![Automorphic Forms on Semisimple Lie Groups [by] Harish-Chandra. Notes by J. G. M. Mars PDF](https://books.google.com/books/content/images/frontcover/qqbgQgAACAAJ?fife=w80-h100)
Author: Harish-Chandra
Publisher:
ISBN:
Category : Functional equations
Languages : en
Pages : 138
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Book Description
Author: Bhartendu Harishchandra
Publisher: Springer
ISBN: 354035865X
Category : Mathematics
Languages : en
Pages : 152
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Author: Harish-Chandra
Publisher:
ISBN:
Category :
Languages : en
Pages : 138
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Author: Daniel Bump
Publisher: Cambridge University Press
ISBN: 9780521658188
Category : Mathematics
Languages : en
Pages : 592
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Book Description
This book takes advanced graduate students from the foundations to topics on the research frontier.
Author: Harish Chandra
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: Walter L. Baily Jr.
Publisher: Princeton University Press
ISBN: 1400867150
Category : Mathematics
Languages : en
Pages : 279
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Book Description
Intended as an introductory guide, this work takes for its subject complex, analytic, automorphic forms and functions on (a domain equivalent to) a bounded domain in a finite-dimensional, complex, vector space, usually denoted Cn). Part I, essentially elementary, deals with complex analytic automorphic forms on a bounded domain; it presents H. Cartan's proof of the existence of the projective imbedding of the compact quotient of such a domain by a discrete group. Part II treats the construction and properties of automorphic forms with respect to an arithmetic group acting on a bounded symmetric domain; this part is highly technical, and based largely on relevant results in functional analysis due to Godement and Harish-Chandra. In Part III, Professor Baily extends the discussion to include some special topics, specifically, the arithmetic propertics of Eisenstein series and their connection with the arithmetic theory of quadratic forms. Unlike classical works on the subject, this book deals with more than one variable, and it differs notably in its treatment of analysis on the group of automorphisms of the domain. It is concerned with the case of complex analytic automorphic forms because of their connection with algebraic geometry, and so is distinct from other modern treatises that deal with automorphic forms on a semi-simple Lie group. Having had its inception as graduate- level lectures, the book assumes some knowledge of complex function theory and algebra, for the serious reader is expected to supply certain details for himself, especially in such related areas as functional analysis and algebraic groups. Originally published in 1973. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Author: Jayce R. Getz
Publisher: Springer Nature
ISBN: 3031411536
Category :
Languages : en
Pages : 611
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Author: J. G. M. Mars
Publisher:
ISBN:
Category :
Languages : de
Pages :
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Author: Harald Grobner
Publisher: World Scientific
ISBN: 9811246181
Category : Mathematics
Languages : en
Pages : 262
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Book 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.
Author: Dorian Goldfeld
Publisher: Springer Science & Business Media
ISBN: 1461412595
Category : Mathematics
Languages : en
Pages : 715
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Book Description
In honor of Serge Lang’s vast contribution to mathematics, this memorial volume presents articles by prominent mathematicians. Reflecting the breadth of Lang's own interests and accomplishments, these essays span the field of Number Theory, Analysis and Geometry.
