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Generalized Functions Vol 5 Integral Geometry And Representation Theory  I. M. Gelfand M. I.Graev, N. Ya. Vilenkin
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Generalized Functions Vol 5 Integral Geometry And Representation Theory  

Original Title  Generalized Functions Vol 5 Integral Geometry And Representation Theory 
Author  I. M. Gelfand M. I.Graev, N. Ya. Vilenkin 
Publication date 
1966 
Topics  generalized functions, mathematics, soviet, integral geometry, representation theory, lie groups, lorentz group, harmonic analysis, radon transform, complex space, homogeneous spaces, unimodular matrices 
Collection  mirtitles, additional_collections 
Book Type  EBook 
Material Type  Book 
File Type  
Downloadable  Yes 
Support  Mobile, Desktop, Tablet 
Scan Quality:  Best No watermark 
PDF Quality:  Good 
Availability  Yes 
Price  0.00 
Submitted By  mirtitles 
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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 idea of Volume 5 in the series is the application of the theory of generalized functions developed in earlier volumes to problems of integral geometry, to representations of Lie groups, specifically of the Lorentz group, and to harmonic analysis on corresponding homogeneous spaces. The book is written with great clarity and requires little in the way of special previous knowledge of either group representation theory or integral geometry, it is also independent of the earlier volumes in the series. The exposition starts with the definition, properties, and main results related to the classical Radon transform, passing to integral geometry in complex space, representations of the group of complex unimodular matrices of second order, and harmonic analysis on this group and on most important homogeneous spaces related to this group. The volume ends with the study of representations of the group of real unimodular matrices of order two.

Generalized Functions Vol 5 Integral Geometry And Representation Theory
 I. M. Gelfand M. I.Graev, N. Ya. Vilenkin
Generalized Functions Vol 5 Integral Geometry And Representation Theory Original Title Gen
Generalized Functions Vol 5 Integral Geometry And Representation Theory
 I. M. Gelfand M. I.Graev, N. Ya. Vilenkin
Generalized Functions Vol 5 Integral Geometry And Representation Theory Original Title Gen