Reconstructive Integral Geometry: 98 (Monographs in Mathematics, 98) - Tapa dura

Libro 12 de 29: Monographs in Mathematics

Palamodov, Victor

 
9783764371296: Reconstructive Integral Geometry: 98 (Monographs in Mathematics, 98)
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ISBN 10: 3764371293 ISBN 13: 9783764371296
Editorial: Birkhäuser, 2004

Sinopsis

This book covers facts and methods for the reconstruction of a function in a real affine or projective space from data of integrals, particularly over lines, planes, and spheres. Recent results are collected stressing explicit analytic methods. Another focus consists of the relations between algebraic integral geometry and partial differential equations. A concise basic course in harmonic analysis and distribution theory is given in the first chapter. The first half of the book includes the ray, the spherical mean transforms in the plane or in 3-space, and inversion from incomplete data. It will be of particular interest to application oriented readers. Further chapters are devoted to the Funk-Radon transform on algebraic varieties of arbitrary dimension. The material appeals to graduates and researchers in pure and applied mathematics who are interested in image reconstruction, inverse problems or functional analysis.

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Críticas

"This book is an excellent overview of the field of integral geometry with emphasis on the functional analytic and differential geometric aspects. The author proves theorems for some of the most important Radon transforms, including transforms on hyperplanes, k-planes, lines, and spheres, and he investigates incomplete (limited) data problems including microlocal analytic issues...This book contains many treasures in integral geometry...and it belongs on the shelf of any analyst or geometer who would like to see how deep functional analysis and differential geometry are used to solve important problems in integral geometry." ―Mathematical Reviews

Reseña del editor

This book covers facts and methods for the reconstruction of a function in a real affine or projective space from data of integrals, particularly over lines, planes, and spheres. Recent results stress explicit analytic methods. Coverage includes the relations between algebraic integral geometry and partial differential equations. The first half of the book includes the ray, the spherical mean transforms in the plane or in 3-space, and inversion from incomplete data.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Birkhäuser
Año de publicación
2004
Idioma
Inglés
ISBN 10 
3764371293
ISBN 13 
9783764371296
Encuadernación
Tapa dura
Número de páginas
182
Contacto del fabricante
ProductSafety@springernature.com
ProductSafety@springernature.com

Poststr. 9
Darmstadt
64293
Alemania

Otras ediciones populares con el mismo título

9783034896290: Reconstructive Integral Geometry: 98 (Monographs in Mathematics)

Edición Destacada

ISBN 10:  3034896298 ISBN 13:  9783034896290
Editorial: Birkhäuser, 2012
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