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Synopsis
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.
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Review
"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
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- PublisherBirkhäuser
- Publication date2004
- ISBN 10 3764371293
- ISBN 13 9783764371296
- BindingHardcover
- LanguageEnglish
- Number of pages176
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Reconstructive Integral Geometry. Monographs in Mathematics.
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Boston, Birkhäuser Verlag, 2004
ISBN 10: 3764371293
ISBN 13: 9783764371296
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Reconstructive Integral Geometry
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Reconstructive Integral Geometry
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Reconstructive Integral Geometry.
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XII, 164 p. Hardcover. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. Stamped. Monographs in Mathematics, Vol. 98. Sprache: Englisch. Seller Inventory # 885GB
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Reconstructive Integral Geometry
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Reconstructive Integral Geometry (Monographs in Mathematics) (Volume 98)
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Reconstructive Integral Geometry
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Reconstructive Integral Geometry (monographs In Mathematics)
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Reconstructive Integral Geometry (monographs In Mathematics)
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