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SURVEY Real Analysis Exchange Vol. 35(1), 2009/2010, pp. 120
 

Summary: SURVEY Real Analysis Exchange
Vol. 35(1), 2009/2010, pp. 120
J. Marshall Ash, Department of Mathematics, DePaul University, Chicago,
IL 60614, U.S.A. email: mash@math.depaul.edu
HOW TO CONCENTRATE IDEMPOTENTS
Abstract
Call a sum of exponentials of the form f(x) = exp (2iN1x) +
exp (2iN2x) + + exp (2iNmx), where the Nk are distinct integers,
an idempotent. We have Lp
interval concentration if there is a positive
constant a, depending only on p, such that for each interval I [0, 1]
there is an idempotent f so that
R
I
|f (x)|p
dx
R 1
0
|f (x)|p
dx > a. We

  

Source: Ash, J. Marshall - Department of Mathematical Sciences, DePaul University

 

Collections: Mathematics