Title: Generalized Functions: Volume 5: Integral Geometry and Representation Theory (AMS Chelsea Publishing)
Publisher: Chelsea Pub Co
Publication Date: 2016
Language: English
ISBN 10: 1470426633
ISBN 13: 9781470426637
Binding: Hardcover
Condition: New

About this title

Synopsis

Gel'Fand, Graev, and Vilenkin originally intended the material on the theory of representations to be in some chapters in the fourth of five volumes, but decided to add a volume devoted to it entirely. They find that representation theory is based on what they call integral geometry, that is, geometry that involves the transition from functions defined on one set of geometrical objects--for example on the points of some linear surface--to functions defined on some other set--for instance on the lines generating this surface. They accomplish the transition from one space to the other with the simultaneous transformation of the function defined on it. Annotation �2016 Ringgold, Inc., Portland, OR (protoview.com)

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