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Jun 14, 2013 at 2:18 comment added mohi thanks this was a very useful answer is the modulus of continuity of f(θ)=log|a−e2πiθ| easy to calculate? Based on page 145 of kuipers and Niederreiter this is equal to M(h)=sup|θ2−θ1|≤h|f(θ2)−f(θ1)| for 0≤h≤1. In this case this is equal to M(h)=sup|θ2−θ1|≤hlog|a−e2πiθ2||a−e2πiθ1|
Jun 14, 2013 at 2:01 vote accept mohi
Jun 13, 2013 at 0:35 history answered Gerry Myerson CC BY-SA 3.0