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

Rubin, Boris

ISBN 10: 0521854598 / ISBN 13: 9780521854597

Published by Cambridge University Press, 2015

About this Item

A very good or even better than very good hardback with just a few very mild bumps and rubs, hence a non-text page is stamped damaged. Despite such, this book is actually in very decent shape, and appears unread. Now offered at a special bargain price. Seller Inventory # 202256

Bibliographic Details

Title: Introduction to Radon Transforms: With ...

Publisher: Cambridge University Press

Publication Date: 2015

Binding: Hardcover

Condition: Very Good

Edition: First Edition.

About this title

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.

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.