MathDB
Miklos Schweitzer 1983_7

Source:

January 31, 2009
functionsearchinductionintegrationcalculusreal analysisreal analysis unsolved

Problem Statement

Prove that if the function f:R2→[0,1] f : \mathbb{R}^2 \rightarrow [0,1] is continuous and its average on every circle of radius 1 1 equals the function value at the center of the circle, then f f is constant. V. Totik
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