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Integral geometry and Radon transforms

Author: Sigurdur Helgason
Publisher: New York : Springer, 2011.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"In this text, integral geometry deals with Radon's problem of representing a function on a manifold in terms of its integrals over certain submanifolds- hence the term the Radon transform ... While containing some recent research, the book is aimed at beginning graduate students for classroom use or self-study. A number of exercises point to further results with documentation."--Back cover.
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Document Type: Book
All Authors / Contributors: Sigurdur Helgason
ISBN: 9781441960542 1441960546 9781441960559 1441960554
OCLC Number: 687635359
Description: xiii, 301 pages : illustrations ; 24 cm
Contents: Preface --
The radon transfrom on Rn --
A Duality in integral geometry --
The radon transform on two-point homogeneous spaces --
The x-ray transform on a symmetric space --
Orbital integrals and the wave operator for isotropic lorentz spaces --
The mean-value operator --
Fourier transforms and distributions. A Rapid course --
Lie transformation groups and differential operators --
Symmetric spaces --
ERRATUM --
Bibliography --
Notational conventions --
Frequently used symbols --
Index.
Responsibility: Sigurdur Helgason.

Abstract:

Integral geometry is a fascinating area where numerous branches of mathematics meet together. This book is concentrated around the duality and double fibration, which is realized through the  Read more...

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From the reviews:"Beginning graduate students and interested nonspecialists will gain from the book because of its clear exposition and comprehensive nature. Practitioners of integral geometry will Read more...

 
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