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.



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

College of Natural Science