Looking for an inspection copy?
This title is not currently available for inspection. However, if you are interested in the title for your course we can consider offering an inspection copy. To register your interest please contact firstname.lastname@example.org providing details of the course you are teaching.
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.Read more
- Contains many examples and the results are presented with detailed proofs
- Can serve as a basis of lecture courses for graduate and advanced undergraduate students
- Features one hundred worked examples
Not yet reviewed
Be the first to review
Review was not posted due to profanity×
- Date Published: November 2015
- format: Hardback
- isbn: 9780521854597
- length: 596 pages
- dimensions: 240 x 163 x 41 mm
- weight: 1.07kg
- contains: 16 b/w illus. 4 exercises
- availability: Available
Table of Contents
2. Fractional integration: functions of one variable
3. Riesz potentials
4. The Radon transform on Rn
5. Operators of integral geometry on the unit sphere
6. Operators of integral geometry in the hyperbolic space
7. Spherical mean Radon transforms.
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email email@example.comRegister Sign in
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.Continue ×
Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.×