Reconstruction from Integral Data |
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| Author:
| Palamodov, Victor |
| Series title: | Chapman and Hall/CRC Monographs and Research Notes in Mathematics Ser. |
| ISBN: | 978-1-4987-1011-4 |
| Publication Date: | Apr 2016 |
| Publisher: | CRC Press LLC
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| Imprint: | Chapman & Hall/CRC |
| Book Format: | Digital (delivered electronically) |
| List Price: | USD $64.95USD $220.00USD $300.00 |
Book Description:
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This book presents both long-standing and recent mathematical results from this field in a uniform way. It focuses on exact analytic formulas for reconstructing a function or a vector field from data of integrals over lines, rays, circles, arcs, parabolas, hyperbolas, planes, hyperplanes, spheres, and paraboloids. The book also addresses range characterizations and collects necessary definitions and elementary facts from geometry and analysis. Coverage is motivated by both applications...
More DescriptionThis book presents both long-standing and recent mathematical results from this field in a uniform way. It focuses on exact analytic formulas for reconstructing a function or a vector field from data of integrals over lines, rays, circles, arcs, parabolas, hyperbolas, planes, hyperplanes, spheres, and paraboloids. The book also addresses range characterizations and collects necessary definitions and elementary facts from geometry and analysis. Coverage is motivated by both applications and pure mathematics.