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Topic Archive: Fourier series

NERDS: New England Recursion & Definability SeminarSaturday, April 2, 20163:15 pmLocklin Hall, Room 232, Springfield College

Johanna Franklin

Randomness and Fourier series

Hofstra University

Carleson’s Theorem states that the Fourier series of certain integrable functions converge almost everywhere. I will consider this theorem in the context of computable analysis and show that the points that satisfy Carleson’s Theorem are precisely the Schnorr random points. This work is joint with Timothy H. McNicholl and Jason Rute.