2010•arXiv (Cornell University)Open access

Distance Functions for Reproducing Kernel Hilbert Spaces

Nicola Arcozzi, Richard Rochberg, Eric T. Sawyer, Brett D. Wick

Abstract

Suppose H is a space of functions on X. If H is a Hilbert space with reproducing kernel then that structure of H can be used to build distance functions on X. We describe some of those and their interpretations and interrelations. We also present some computational properties and examples.

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Key concepts: Reproducing kernel Hilbert space, Hilbert space, Representer theorem, Kernel (algebra), Mathematics, Rigged Hilbert space, Pure mathematics, Space (punctuation)