An introduction to the Theory of Reproducing Kernel Hilbert Spaces
Paulsen, Vern I.
An introduction to the Theory of Reproducing Kernel Hilbert Spaces /Vern I Paulsen - Cambridge, New York :Cambridge University Press, 2016 - x, 182p. ; 24 cm - Cambridge studies in advanced mathematics, 152. .
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.
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
9781107104099
International Book Distributors :Flat No 17, Prakash Apartment 4405/2, 5 Ansari Road Darya Ganj New Delhi Zafaa Books & Distributors :313/56F 49A, Anand Nagar Inderlok Delhi 110035
Mathematics
Analysis
Hilbert space
Kernel functions
515.733 PAU
An introduction to the Theory of Reproducing Kernel Hilbert Spaces /Vern I Paulsen - Cambridge, New York :Cambridge University Press, 2016 - x, 182p. ; 24 cm - Cambridge studies in advanced mathematics, 152. .
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.
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
9781107104099
International Book Distributors :Flat No 17, Prakash Apartment 4405/2, 5 Ansari Road Darya Ganj New Delhi Zafaa Books & Distributors :313/56F 49A, Anand Nagar Inderlok Delhi 110035
Mathematics
Analysis
Hilbert space
Kernel functions
515.733 PAU
