Paulsen, Vern I. creator Paulsen, Vern I. Raghupathi, Mrinal text Cambridge, New York :Cambridge University Press 2016 monographic eng

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x, 182p. ; 24 cm 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 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. /Vern I Paulsen Mathematics Analysis Hilbert space Kernel functions 515.733 PAU 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 210701 20220908130300.0