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\BOOKMARK [1][-]{section.1}{General Preliminaries}{}% 1
\BOOKMARK [2][-]{subsection.1.1}{Inner Product Spaces}{section.1}% 2
\BOOKMARK [2][-]{subsection.1.2}{Linear Algebra Meets Fourier}{section.1}% 3
\BOOKMARK [2][-]{subsection.1.3}{Topological Vector Spaces}{section.1}% 4
\BOOKMARK [2][-]{subsection.1.4}{Metric Spaces}{section.1}% 5
\BOOKMARK [2][-]{subsection.1.5}{Hilbert Spaces}{section.1}% 6
\BOOKMARK [2][-]{subsection.1.6}{Isometries}{section.1}% 7
\BOOKMARK [2][-]{subsection.1.7}{Dual Spaces, Riesz Representation Theorem}{section.1}% 8
\BOOKMARK [1][-]{section.2}{Reproducing Kernel Hilbert Space}{}% 9
\BOOKMARK [2][-]{subsection.2.1}{Definitions}{section.2}% 10
\BOOKMARK [2][-]{subsection.2.2}{Characterizing RKHS's: Continuous Evaluation Functionals}{section.2}% 11
\BOOKMARK [2][-]{subsection.2.3}{Characterizing RKHS's: Positive Type Functions \(Kernels\)}{section.2}% 12
\BOOKMARK [2][-]{subsection.2.4}{RKHS and Positive Type Functions}{section.2}% 13
\BOOKMARK [2][-]{subsection.2.5}{The Representer Theorem}{section.2}% 14
\BOOKMARK [1][-]{section.3}{Stochastics, or Something}{}% 15
\BOOKMARK [2][-]{subsection.3.1}{Hilbert Space Generated by a Process:}{section.3}% 16
\BOOKMARK [2][-]{subsection.3.2}{Representation Theorems:}{section.3}% 17
\BOOKMARK [3][-]{subsubsection.3.2.1}{Lo\351ve Representation Theorem:}{subsection.3.2}% 18
\BOOKMARK [2][-]{subsection.3.3}{Karhunen-Lo\351ve Expansion Theorem}{section.3}% 19
\BOOKMARK [1][-]{section.4}{Acknowledgments}{}% 20
\BOOKMARK [1][-]{section.5}{Bibliography}{}% 21