Introduction to Radon Transforms: With Elements of Fractional

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Introduction to Radon Transforms: With Elements of Fractional Calculus and Harmonic Analysis (Encyclopedia of Mathematics and its Applications)

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.
Country USA
Brand Cambridge University Press
Manufacturer Cambridge University Press
Binding Hardcover
ItemPartNumber 16 b/w illus. 4 exercises
UnitCount 1
EANs 9780521854597
ReleaseDate 0000-00-00

Country	USA
Brand	Cambridge University Press
Manufacturer	Cambridge University Press
Binding	Hardcover
ItemPartNumber	16 b/w illus. 4 exercises
UnitCount	1
EANs	9780521854597
ReleaseDate	0000-00-00

Introduction to Radon Transforms: With Elements of Fractional Calculus and Harmonic Analysis (Encyclopedia of Mathematics and its Applications)

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