Sampling Theory for Functions with Fractal Spectrum

نویسندگان

  • Nina N. Huang
  • Robert S. Strichartz
چکیده

CONTENTS We investigate in greater detail a sampling formula given by the 1 . Introduction fjrst author for functions whose spectrum lies in a Cantor set K of 2. Asymptotic Behavior of the Sampling Function a special type introduced by Jorgensen and Pedersen, where the 3. Translates of the Sampling Function sampling set is extremely thin, and the sampling function is quite 4. The Sampling Formula different from the usual sine function. We obtain new properties

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عنوان ژورنال:
  • Experimental Mathematics

دوره 10  شماره 

صفحات  -

تاریخ انتشار 2001