An Introduction to the Theory of Reproducing Kernel Hilbert Spaces
£60.99
Part of Cambridge Studies in Advanced Mathematics
- Authors:
- Vern I. Paulsen, University of Waterloo, Ontario
- Mrinal Raghupathi, United Services Automobile Association
- Date Published: April 2016
- availability: Available
- format: Hardback
- isbn: 9781107104099
£
60.99
Hardback
Other available formats:
eBook
Looking for an inspection copy?
This title is not currently available on inspection
-
Reproducing kernel Hilbert spaces have developed into an important tool in many areas, especially statistics and machine learning, and they play a valuable role in complex analysis, probability, group representation theory, and the theory of integral operators. This unique text offers a unified overview of the topic, providing detailed examples of applications, as well as covering the fundamental underlying theory, including chapters on interpolation and approximation, Cholesky and Schur operations on kernels, and vector-valued spaces. Self-contained and accessibly written, with exercises at the end of each chapter, this unrivalled treatment of the topic serves as an ideal introduction for graduate students across mathematics, computer science, and engineering, as well as a useful reference for researchers working in functional analysis or its applications.
Read more- Provides a unified account of the topic, covering fundamental theory as well as applications
- Written at an accessible level suitable for a broad audience including graduate students and researchers
- Includes a wealth of detailed examples and end-of-chapter exercises
Reviews & endorsements
'The purpose of this fine monograph is two-fold. On the one hand, the authors introduce a wide audience to the basic theory of reproducing kernel Hilbert spaces (RKHS), on the other hand they present applications of this theory in a variety of areas of mathematics … the authors have succeeded in arranging a very readable modern presentation of RKHS and in conveying the relevance of this beautiful theory by many examples and applications.' Dirk Werner, Zentralblatt MATH
See more reviews'Anyone looking for a nice introduction to this theory need look no further.' Jeff Ibbotson, MAA Reviews
Customer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
- Date Published: April 2016
- format: Hardback
- isbn: 9781107104099
- length: 192 pages
- dimensions: 235 x 156 x 15 mm
- weight: 0.39kg
- contains: 99 exercises
- availability: Available
Table of Contents
Part I. General Theory:
1. Introduction
2. Fundamental results
3. Interpolation and approximation
4. Cholesky and Schur
5. Operations on kernels
6. Vector-valued spaces
Part II. Applications and Examples:
7. Power series on balls and pull-backs
8. Statistics and machine learning
9. Negative definite functions
10. Positive definite functions on groups
11. Applications of RKHS to integral operators
12. Stochastic processes.
Related Books
related journals
also by this author
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org
Register Sign in» Proceed
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.
×