English

Distance Functions for Reproducing Kernel Hilbert Spaces

Complex Variables 2012-05-01 v1 Classical Analysis and ODEs

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.

Keywords

Cite

@article{arxiv.1010.0136,
  title  = {Distance Functions for Reproducing Kernel Hilbert Spaces},
  author = {Nicola Arcozzi and Richard Rochberg and Eric T. Sawyer and Brett D. Wick},
  journal= {arXiv preprint arXiv:1010.0136},
  year   = {2012}
}

Comments

v1: 29 pages

R2 v1 2026-06-21T16:22:20.935Z