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Generalized Functions Vol 6 Representation Theory And Automorphic Forms | I. M. Gelfand, M. I. Graev, I. I. Pyatetskii-Shapiro

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Generalized Functions Vol 6 Representation Theory And Automorphic Forms
Original Title Generalized Functions Vol 6 Representation Theory And Automorphic Forms
Author I. M. Gelfand, M. I. Graev, I. I. Pyatetskii-Shapiro
Publication date

Topics generalized functions, mathematics, soviet, representation theory, automorphic forms, p-adic fields, fields, power series, number theory, rings, subgroups
Collection mir-titles, additional_collections
Book Type EBook
Material Type Book
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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 six-volume collection, Generalized Functions, written by I. M. Gel′fand and co-authors 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 number-theoretic 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 number-theoretic 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.
Generalized Functions Vol 6 Representation Theory And Automorphic Forms
      
 | I. M. Gelfand, M. I. Graev, I. I. Pyatetskii-Shapiro
Generalized Functions Vol 6 Representation Theory And Automorphic Forms | I. M. Gelfand, M. I. Graev, I. I. Pyatetskii-Shapiro
Generalized Functions Vol 6 Representation Theory And Automorphic Forms Original Title Gen
Generalized Functions Vol 6 Representation Theory And Automorphic Forms
      
 | I. M. Gelfand, M. I. Graev, I. I. Pyatetskii-Shapiro
Generalized Functions Vol 6 Representation Theory And Automorphic Forms | I. M. Gelfand, M. I. Graev, I. I. Pyatetskii-Shapiro
Generalized Functions Vol 6 Representation Theory And Automorphic Forms Original Title Gen
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