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Introduction to Radon Transforms: With Elements of Fractional Calculus and Harmonic Analysis (Encyclopedia of Mathematics and its Applications) - Hardcover
Synopsis
The Radon transform represents a function on a manifold by its integrals over certain submanifolds. Integral transformations of this kind have a wide range of applications in modern analysis, integral and convex geometry, medical imaging, and many other areas. Reconstruction of functions from their Radon transforms requires tools from harmonic analysis and fractional differentiation. This comprehensive introduction contains a thorough exploration of Radon transforms and related operators when the basic manifolds are the real Euclidean space, the unit sphere, and the real hyperbolic space. Radon-like transforms are discussed not only on smooth functions but also in the general context of Lebesgue spaces. Applications, open problems, and recent results are also included. The book will be useful for researchers in integral geometry, harmonic analysis, and related branches of mathematics, including applications. The text contains many examples and detailed proofs, making it accessible to graduate students and advanced undergraduates.
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Book Description
This comprehensive introduction for students and researchers explores Radon transforms and related operators when the basic manifolds are the real Euclidean space, the unit sphere, and the real hyperbolic space. Applications include analysis, integral and convex geometry, and medical imaging. Open problems and recent results are also presented.
About the Author
Boris Rubin is Professor of Mathematics at Louisiana State University. He is the author of the book Fractional Integrals and Potentials and has written more than one hundred research papers in the areas of fractional calculus, integral geometry, and related harmonic analysis.
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- PublisherCambridge University Press
- Publication date2015
- ISBN 10 0521854598
- ISBN 13 9780521854597
- BindingHardcover
- LanguageEnglish
- Edition number1
- Number of pages596
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Introduction to Radon Transforms: With Elements of Fractional Calculus and Harmonic Analysis (Encyclopedia of Mathematics and its Applications)
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Cambridge University Press, 2015
ISBN 10: 0521854598
ISBN 13: 9780521854597
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Introduction to Radon Transforms: With Elements of Fractional Calculus and Harmonic Analysis (Encyclopedia of Mathematics and its Applications)
Published by
Cambridge University Press, 2015
ISBN 10: 0521854598
ISBN 13: 9780521854597
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Introduction to Radon Transforms: With Elements of Fractional Calculus and Harmonic Analysis (Encyclopedia of Mathematics and its Applications)
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ISBN 13: 9780521854597
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Introduction to Radon Transforms
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This comprehensive introduction for students and researchers explores Radon transforms and related operators when the basic manifolds are the real Euclidean space, the unit sphere, and the real hyperbolic space. Applications include analysis, integral and c. Seller Inventory # 105841873
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Introduction to Radon Transforms
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ISBN 13: 9780521854597
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - The Radon transform represents a function on a manifold by its integrals over certain submanifolds. Integral transformations of this kind have a wide range of applications in modern analysis, integral and convex geometry, medical imaging, and many other areas. Reconstruction of functions from their Radon transforms requires tools from harmonic analysis and fractional differentiation. This comprehensive introduction contains a thorough exploration of Radon transforms and related operators when the basic manifolds are the real Euclidean space, the unit sphere, and the real hyperbolic space. Radon-like transforms are discussed not only on smooth functions but also in the general context of Lebesgue spaces. Applications, open problems, and recent results are also included. The book will be useful for researchers in integral geometry, harmonic analysis, and related branches of mathematics, including applications. The text contains many examples and detailed proofs, making it accessible to graduate students and advanced undergraduates. Seller Inventory # 9780521854597
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Introduction to Radon Transforms: With Elements of Fractional Calculus and Harmonic Analysis
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Introduction to Radon Transforms: With Elements of Fractional Calculus and Harmonic Analysis (Encyclopedia of Mathematics and its Applications)
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Introduction to Radon Transforms: With Elements of Fractional Calculus and Harmonic Analysis (Encyclopedia of Mathematics and its Applications)
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ISBN 13: 9780521854597
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Introduction to Radon Transforms (Hardcover)
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ISBN 10: 0521854598
ISBN 13: 9780521854597
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Hardcover. Condition: new. Hardcover. The Radon transform represents a function on a manifold by its integrals over certain submanifolds. Integral transformations of this kind have a wide range of applications in modern analysis, integral and convex geometry, medical imaging, and many other areas. Reconstruction of functions from their Radon transforms requires tools from harmonic analysis and fractional differentiation. This comprehensive introduction contains a thorough exploration of Radon transforms and related operators when the basic manifolds are the real Euclidean space, the unit sphere, and the real hyperbolic space. Radon-like transforms are discussed not only on smooth functions but also in the general context of Lebesgue spaces. Applications, open problems, and recent results are also included. The book will be useful for researchers in integral geometry, harmonic analysis, and related branches of mathematics, including applications. The text contains many examples and detailed proofs, making it accessible to graduate students and advanced undergraduates. This comprehensive introduction for students and researchers explores Radon transforms and related operators when the basic manifolds are the real Euclidean space, the unit sphere, and the real hyperbolic space. Applications include analysis, integral and convex geometry, and medical imaging. Open problems and recent results are also presented. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521854597
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Introduction to Radon Transforms (Hardcover)
Published by
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ISBN 10: 0521854598
ISBN 13: 9780521854597
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Hardcover. Condition: new. Hardcover. The Radon transform represents a function on a manifold by its integrals over certain submanifolds. Integral transformations of this kind have a wide range of applications in modern analysis, integral and convex geometry, medical imaging, and many other areas. Reconstruction of functions from their Radon transforms requires tools from harmonic analysis and fractional differentiation. This comprehensive introduction contains a thorough exploration of Radon transforms and related operators when the basic manifolds are the real Euclidean space, the unit sphere, and the real hyperbolic space. Radon-like transforms are discussed not only on smooth functions but also in the general context of Lebesgue spaces. Applications, open problems, and recent results are also included. The book will be useful for researchers in integral geometry, harmonic analysis, and related branches of mathematics, including applications. The text contains many examples and detailed proofs, making it accessible to graduate students and advanced undergraduates. This comprehensive introduction for students and researchers explores Radon transforms and related operators when the basic manifolds are the real Euclidean space, the unit sphere, and the real hyperbolic space. Applications include analysis, integral and convex geometry, and medical imaging. Open problems and recent results are also presented. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Seller Inventory # 9780521854597
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