Harmonic Analysis of Spherical Functions on Real Reductive Groups - Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 2. Folge - R.a. Gangolli - Grāmatas - Springer-Verlag Berlin and Heidelberg Gm - 9783642729584 - 2011. gada 16. decembris
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R.a. Gangolli
Harmonic Analysis of Spherical Functions on Real Reductive Groups - Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 2. Folge Softcover Reprint of the Original 1st Ed. 1988 edition

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Analysis on Symmetric spaces, or more generally, on homogeneous spaces of semisimple Lie groups, is a subject that has undergone a vigorous development in recent years, and has become a central part of contemporary mathematics. This is only to be expected, since homogeneous spaces and group representations arise naturally in diverse contexts ranging from Number theory and Geometry to Particle Physics and Polymer Chemistry. Its explosive growth sometimes makes it difficult to realize that it is actually relatively young as mathematical theories go. The early ideas in the subject (as is the case with many others) go back to Elie Cart an and Hermann Weyl who studied the compact symmetric spaces in the 1930's. However its full development did not begin until the 1950's when Gel'fand and Harish­ Chandra dared to dream of a theory of representations that included all semisimple Lie groups. Harish-Chandra's theory of spherical functions was essentially complete in the late 1950's, and was to prove to be the forerunner of his monumental work on harmonic analysis on reductive groups that has inspired a whole generation of mathematicians. It is the harmonic analysis of spherical functions on symmetric spaces, that is at the focus of this book. The fundamental questions of harmonic analysis on symmetric spaces involve an interplay of the geometric, analytical, and algebraic aspects of these spaces. They have therefore attracted a great deal of attention, and there have been many excellent expositions of the themes that are characteristic of this subject.

365 pages, biography

Mediji Grāmatas     Paperback Book   (Grāmata ar mīksto vāku un līmēto muguru)
Izlaists 2011. gada 16. decembris
ISBN13 9783642729584
Izdevēji Springer-Verlag Berlin and Heidelberg Gm
Lapas 365
Izmēri 170 × 242 × 20 mm   ·   616 g
Valoda Angļu  

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