Department of Mathematics

Analysis and PDE

  •  N. K. Nikolski, University of Bordeaux
  •   Dilated systems and multivariable analysis
  •  10/10/2018
  •  4:10 PM - 5:00 PM
  •  C517 Wells Hall

Geometric L^2(0,1) properties of dilated function systems D(f)= {f(kx): k= 1,2,...} are discussed, as completeness, Riesz basis property, etc. (Completeness of D(f) for f(x)= 1/x-[1/x] is equivalent to the Riemann Hypothesis). The Bohr's lift techniques permit to explain (all) known results and show some new, as well as to discuss open problems.

 

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Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
Fax: (517) 432-1562

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