An introduction to the theory of reproducing kernel Hilbert spaces /
[Book]
Vern I. Paulsen, Mrinal Raghupathi.
Cambridge :
Cambridge University Press,
2016.
x, 182 pages ;
24 cm
Cambridge studies in advanced mathematics ;
152
Includes bibliographical references and index.
Part 1 -- General theory: 1. Introduction -- 2. Fundamental results -- 3. Interpolation and approximation -- 4. Cholesky and Schur -- 5. Operations on kernals -- 6. Vector-valued spaces -- Part 2 -- 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.