Introduction to the Theory of Reproducing Kernel Hilbert Spaces

Informationen zum Autor Vern I. Paulsen held a John and Rebecca Moores Chair in the Department of Mathematics, University of Houston, from 1996 to 2015. He is currently a Professor in the Department of Pure Mathematics at the Institute for Quantum Computing, University of Waterloo. He is the author of four books, over 100 research articles, and the winner of several teaching awards. Klappentext A unique introduction to reproducing kernel Hilbert spaces, covering the fundamental underlying theory as well as a range of applications. Zusammenfassung Covering the fundamental underlying theory as well as a range of applications! this unique text provides a unified overview of reproducing kernel Hilbert spaces. It offers an unrivalled and accessible introduction to the field! ideal for graduate students and researchers working in functional analysis or its applications. Inhaltsverzeichnis 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.

Product details

• Authors: Vern Paulsen, Vern I Raghupathi Paulsen, Vern I. Paulsen, Vern I. Raghupathi Paulsen, Mrinal Raghupathi
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 11.04.2016
• EAN: 9781107104099
• ISBN: 978-1-107-10409-9
• No. of pages: 192
• Series: Cambridge Studies in Advanced Mathematics; Cambridge Studies in Advanced
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Analysis