TY  - BOOK
AU  - Paulsen,Vern I.
AU  - Raghupathi,Mrinal
TI  - Introduction to the theory of reproducing kernel Hilbert spaces
T2  - Cambridge studies in advanced mathematics
SN  - 9781107104099
U1  - 515.733 23
PY  - 2016///
CY  - Cambridge : 
PB  - Cambridge University Press
KW  - Hilbert space
KW  - Kernel functions
N1  - 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
N2  - 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
ER  -