Vern I. Paulsen, Mrinal Raghupathi

An Introduction to the Theory of Reproducing Kernel Hilbert Spaces

• Gebundenes Buch

Produktbeschreibung

A unique introduction to reproducing kernel Hilbert spaces, covering the fundamental underlying theory as well as a range of applications.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 194
• Erscheinungstermin: 9. August 2017
• Englisch
• Abmessung: 235mm x 157mm x 15mm
• Gewicht: 440g
• ISBN-13: 9781107104099
• ISBN-10: 1107104092
• Artikelnr.: 43921751

Autorenporträt

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.

Inhaltsangabe

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.