Date | May 23, 2014 |
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Speaker | 송명신 |

Dept. | Southern Illinois University Edwardsville |

Room | 27-220 |

Time | 10:30-12:00 |

We consider Hilbert spaces of functions on infinite graphs, and their compactifications. We arrived at a sampling formula in the spirit of Shannon; the idea is that we allow for sampling of functions f defined on a continuum completion of an infinite graph G, sampling the continuum by values of f at points in the graph G.

Rather than the more traditional frequency analysis of band-limited functions from Shannon, our analysis is instead based on reproducing kernel Hilbert spaces built from a prescribed infinite system of resistors on G.

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