This book is concerned with the modern theory of Fourier series. Treating developments since Zygmund's classic study, the authors begin with a thorough discussion of the classical one-dimensional theory from a modern perspective. The text then takes up the developments of the 1970s, beginning with Fefferman's famous disc counterexample. The culminating chapter presents Cordoba's geometric theory of Kayeka maximal functions and multipliers. Research workers in the fields of Fourier analysis and harmonic analysis will find this a valuable account of these developments. Second year graduate students, who are familiar with Lebesgue theory and are acquainted with distributions, will be able to use this as a textbook which will bring them up to the exciting open questions in the field.
Not yet reviewed
Be the first to review
Review was not posted due to profanity×
- Date Published: November 1987
- format: Paperback
- isbn: 9780521312776
- length: 164 pages
- dimensions: 229 x 152 x 10 mm
- weight: 0.25kg
- availability: Available
Table of Contents
1. Multiplier theory
2. The Hilbert transform
3. Good lambda and weighted norm inequalities
4. Multipliers with singularities
5. Singularities along curves
6. Restriction theorems
7. The multiplier theorem for the disc
8. The Cordoba multiplier theorem
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.×