WALSH FUNCTIONS, NORMAL NUMBERS AND PSEUDO-RANDOM FUNCTIONS.
CALIFORNIA UNIV BERKELEY DEPT OF MATHEMATICS
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The so-called Walsh functions are considered. They are defined as a character on the abelian group ZgZ to the Nth power g is a given integer or 2. A characterization is obtained of normal numbers by applying Weyls criteria on uniformly distributed sequences on a group. It is shown that the Walsh functions are pseudo-random functions whose energetic spectral density is singular. Author