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On generalized Flett's mean value theorem
Flett’s mean value theorem real function differentiability Taylor polynomial
2011/9/13
Abstract: We present a new proof of generalized Flett's mean value theorem due to Pawlikowska (from Demonstratio Math. 1999) using only the original Flett's mean value theorem. Also, a Trahan-type con...
Bounds For Multilinear Sublevel Sets Via Szemeredi's Theorem
Multilinear Sublevel Sets Szemeredi's Theorem Classical Analysis and ODEs
2011/9/5
Abstract: In 2005, Li, Tao, Thiele and the author raised a general question concerning upper bounds for a class of multilinear oscillatory integral operators, and established such bounds in a few case...
An inverse theorem for the Gowers $U^{s+1}[N]$-norm
inverse theorem Gowers $U^{s+1}[N]$-norm
2010/12/9
We prove the inverse conjecture for the Gowers Us+1[N]-norm for all s > 3; this is new for s > 3, and the cases s < 3 have also been previously established. More precisely, we establish that if f : [N...