An introduction to the theory of reproducing kernel hilbert spaces

Paulsen, Vern I

An introduction to the theory of reproducing kernel hilbert spaces by Vern I. Paulsen, Mrinal Raghupathi. - Cambridge : Cambridge University Press, ©2016 - x, 182 p. ; 24 cm.

Includes bibliographical references and index.


Part I. General Theory 1. Introduction 2. Fundamental results 3. Interpolation and approximation 4. Cholesky and Schur 5. Operations on kernels 6. Vector-valued spaces Part II. 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.

9781107104099


Reproducing kernel
Hilbert space structure

515.73 / PAU-I
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