Vern I. Paulsen held a John and Rebecca Moores Chair in the Department of Mathematics, University of Houston, from 1996 to 2015. He is currently a Professor in the Department of Pure Mathematics at the Institute for Quantum Computing, University of Waterloo. He is the author of four books, over 100 research articles, and the winner of several teaching awards.
Inhaltsangabe
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.
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.
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