TY  - BOOK
AU  - Paulsen, Vern I.
AU  - Paulsen, Vern I.
AU  - Raghupathi, Mrinal
TI  - An introduction to the Theory of Reproducing Kernel Hilbert Spaces
T2  - Cambridge studies in advanced mathematics, 152
SN  - 9781107104099
U1  - 515.733 PAU 
PY  - 2016///
CY  - Cambridge, New York 
PB  - :Cambridge University Press, 
KW  - Mathematics
KW  - Analysis
KW  - Hilbert space
KW  - Kernel functions
N1  - 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
N2  - 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
ER  -