The Radon Transform
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ISBN-13:
9780817641092
Veröffentl:
1999
Erscheinungsdatum:
01.08.1999
Seiten:
193
Autor:
Sigurdur Helgason
Gewicht:
408 g
Format:
242x163x15 mm
Sprache:
Englisch
Beschreibung:
The Radon transform is an important topic in integral geometry which deals with the problem of expressing a function on a manifold in terms of its integrals over certain submanifolds. Solutions to such problems have a wide range of applications, namely to partial differential equations, group representations, X-ray technology, nuclear magnetic resonance scanning, and tomography. This second edition, significantly expanded and updated, presents new material taking into account some of the progress made in the field since 1980.
The Radon transform is an important topic in integral geometry which deals with the problem of expressing a function on a manifold in terms of its integrals over certain submanifolds. Solutions to such problems have a wide range of applications, namely to partial differential equations, group representations, X-ray technology, nuclear magnetic resonance scanning, and tomography. This second edition, significantly expanded and updated, presents new material taking into account some of the progress made in the field since 1980. Aimed at beginning graduate students, this monograph will be useful in the classroom or as a resource for self-study. Readers will find here an accessible introduction to Radon transform theory, an elegant topic in integral geometry.
Preface to the Second Edition.-Preface to the First Edition.-The Radon Transform on Rn.-A Duality in Integral Geometry. Generalized Radon Transforms and Orbital Integrals.-The Radon Transform on Two-Point Homogeneous Spaces.-Orbital Integrals and the Wave Operator for Isotropic Lorentz Spaces.-Fourier Transforms and Distributions. A Rapid Course.-Bibliography.-Notational Conventions.-Subject Index.
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