Hardcover ISBN:  9781470426644 
Product Code:  CHEL/382.H 
List Price:  $69.00 
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eBook ISBN:  9781470431273 
Product Code:  CHEL/382.H.E 
List Price:  $65.00 
MAA Member Price:  $58.50 
AMS Member Price:  $58.50 
Hardcover ISBN:  9781470426644 
eBook: ISBN:  9781470431273 
Product Code:  CHEL/382.H.B 
List Price:  $134.00 $101.50 
MAA Member Price:  $120.60 $91.35 
AMS Member Price:  $120.60 $91.35 
Hardcover ISBN:  9781470426644 
Product Code:  CHEL/382.H 
List Price:  $69.00 
MAA Member Price:  $62.10 
AMS Member Price:  $62.10 
eBook ISBN:  9781470431273 
Product Code:  CHEL/382.H.E 
List Price:  $65.00 
MAA Member Price:  $58.50 
AMS Member Price:  $58.50 
Hardcover ISBN:  9781470426644 
eBook ISBN:  9781470431273 
Product Code:  CHEL/382.H.B 
List Price:  $134.00 $101.50 
MAA Member Price:  $120.60 $91.35 
AMS Member Price:  $120.60 $91.35 

Book DetailsAMS Chelsea PublishingVolume: 382; 1969; 426 ppMSC: Primary 22; Secondary 11
The first systematic theory of generalized functions (also known as distributions) was created in the early 1950s, although some aspects were developed much earlier, most notably in the definition of the Green's function in mathematics and in the work of Paul Dirac on quantum electrodynamics in physics. The sixvolume collection, Generalized Functions, written by I. M. Gel′fand and coauthors and published in Russian between 1958 and 1966, gives an introduction to generalized functions and presents various applications to analysis, PDE, stochastic processes, and representation theory.
The unifying theme of Volume 6 is the study of representations of the general linear group of order two over various fields and rings of numbertheoretic nature, most importantly over local fields (\(p\)adic fields and fields of power series over finite fields) and over the ring of adeles. Representation theory of the latter group naturally leads to the study of automorphic functions and related numbertheoretic problems. The book contains a wealth of information about discrete subgroups and automorphic representations, and can be used both as a very good introduction to the subject and as a valuable reference.
ReadershipGraduate students and research mathematicians interested in representation theory and automorphic forms.
This item is also available as part of a set: 
Table of Contents

Chapters

Chapter 1. Homogeneous spaces with a discrete stability group

Chapter 2. Representations of the group of unimodular matrices of order 2 with elements from a locally compact topological field

Chapter 3. Representations of adele groups

Guide to the literature


Additional Material

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The first systematic theory of generalized functions (also known as distributions) was created in the early 1950s, although some aspects were developed much earlier, most notably in the definition of the Green's function in mathematics and in the work of Paul Dirac on quantum electrodynamics in physics. The sixvolume collection, Generalized Functions, written by I. M. Gel′fand and coauthors and published in Russian between 1958 and 1966, gives an introduction to generalized functions and presents various applications to analysis, PDE, stochastic processes, and representation theory.
The unifying theme of Volume 6 is the study of representations of the general linear group of order two over various fields and rings of numbertheoretic nature, most importantly over local fields (\(p\)adic fields and fields of power series over finite fields) and over the ring of adeles. Representation theory of the latter group naturally leads to the study of automorphic functions and related numbertheoretic problems. The book contains a wealth of information about discrete subgroups and automorphic representations, and can be used both as a very good introduction to the subject and as a valuable reference.
Graduate students and research mathematicians interested in representation theory and automorphic forms.

Chapters

Chapter 1. Homogeneous spaces with a discrete stability group

Chapter 2. Representations of the group of unimodular matrices of order 2 with elements from a locally compact topological field

Chapter 3. Representations of adele groups

Guide to the literature