Other available formats:
Looking for an examination copy?
This title is not currently available for examination. However, if you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact firstname.lastname@example.org providing details of the course you are teaching.
This book provides a thorough and self-contained study of interdependence and complexity in settings of functional analysis, harmonic analysis and stochastic analysis. It focuses on "dimension" as a basic counter of degrees of freedom, leading to precise relations between combinatorial measurements and various indices originating from the classical inequalities of Khintchin, Littlewood and Grothendieck. Topics include the (two-dimensional) Grothendieck inequality and its extensions to higher dimensions, stochastic models of Brownian motion, degrees of randomness and Fréchet measures in stochastic analysis. This book is primarily aimed at graduate students specializing in harmonic analysis, functional analysis or probability theory. It contains many exercises and is suitable as a textbook. It is also of interest to computer scientists, physicists, statisticians, biologists and economists.Read more
- Author is a leading expert in the field
- Unique treatment
- Accessible to graduate students
Not yet reviewed
Be the first to review
Review was not posted due to profanity×
- Date Published: August 2001
- format: Hardback
- isbn: 9780521650847
- length: 580 pages
- dimensions: 229 x 152 x 37 mm
- weight: 1.02kg
- contains: 275 exercises
- availability: Available
Table of Contents
1. A prologue: mostly historical
2. Three classical inequalities
3. A fourth inequality
4. Elementary properties of the Frechet variation - an introduction to tensor products
5. The Grothendieck factorization theorem
6. An introduction to multidimensional measure theory
7. An introduction to harmonic analysis
8. Multilinear extensions of the Grothendieck inequality
9. Product Frechet measures
10. Brownian motion and the Wiener process
12. A '3/2n- dimensional' Cartesian product
13. Fractional Cartesian products and combinatorial dimension
14. The last chapter: leads and loose ends.
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.×