MathDB
Miklos Schweitzer 1970_9

Source:

October 22, 2008
functionreal analysisreal analysis unsolved

Problem Statement

Construct a continuous function f(x) f(x), periodic with period 2π 2 \pi, such that the Fourier series of f(x) f(x) is divergent at x\equal{}0, but the Fourier series of f2(x) f^2(x) is uniformly convergent on [0,2π]. [0,2 \pi]. P. Turan
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