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Reconstructive Integral Geometry (Monographs in Mathematics) [Hardcover]

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Item description for Reconstructive Integral Geometry (Monographs in Mathematics) by Victor Palamodov...

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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Item Specifications...

Pages   164
Est. Packaging Dimensions:   Length: 9.13" Width: 6.38" Height: 0.63"
Weight:   1.15 lbs.
Binding  Hardcover
Release Date   Aug 20, 2004
Publisher   Birkhäuser Basel
ISBN  3764371293  
ISBN13  9783764371296  

Availability  142 units.
Availability accurate as of Oct 23, 2016 04:22.
Usually ships within one to two business days from La Vergne, TN.
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Product Categories

1Books > Special Features > New & Used Textbooks > Sciences > Mathematics > Geometry
2Books > Subjects > Professional & Technical > Professional Science > Mathematics > Geometry & Topology > Differential Geometry
3Books > Subjects > Professional & Technical > Professional Science > Mathematics > Geometry & Topology > General Geometry
4Books > Subjects > Professional & Technical > Professional Science > Mathematics > Mathematical Analysis
5Books > Subjects > Science > General
6Books > Subjects > Science > Mathematics > General
7Books > Subjects > Science > Mathematics > Geometry & Topology > Differential Geometry
8Books > Subjects > Science > Mathematics > Geometry & Topology > General Geometry
9Books > Subjects > Science > Mathematics > Mathematical Analysis

Reviews - What do customers think about Reconstructive Integral Geometry (Monographs in Mathematics)?

For those who want to look more deeply into tomography  Mar 19, 2008
This book is an excellent bridge to the more advanced mathematical literature, and a good follow up to Natterer's review of the subject. The contributions of Gelfand and his school to this beautiful subject are deep and wide ranging, and well worth pursuing.

Problems with typos in this edition, and skimpy detail on some of the proofs do subtract somewhat from the overall rating, however. I hope the author will produce a second edition.

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