Suppose that ν is a given positive measure on-1, 1, and that μ is another measure on the
real line, whose restriction to-1, 1 is ν. We show that one can bound the orthonormal …

A measure μ μ on the unit circle TT belongs to Steklov class SS if its density w with respect to
the Lebesgue measure on TT is strictly positive: ess\, inf\nolimits _ T w> 0 ess inf T w> 0. Let …

We consider problems inspired by the conjecture of Steklov and recent work on sharp
estimates in this conjecture. We use various techniques to investigate Steklov problems in …