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Masami Okada

2010-05-05
10:30:00 - 12:00:00

308 , Mathematics Research Center Building (ori. New Math. Bldg.)

The purpose of this talk is to present an approximate sampling theorem for non bandlimited functions which originates in the famous Shannon (or Whittaker-Ogura) sampling theorem, based on a recent joint work with St. Jaffard and T. Ueno. We show that a large class of sampling functions generalizing the sinc function can be used to give a good sampling approximation of functions in Besov spaces. Actually we can characterize the Besov (quasi) norm of a function by means of its asymptotic order of the sampling approximation. As an application, we can determine the H\"older exponent of continuous data by means of sampled values at dyadic points.