S. Denisov

activity

20002005

most citedSpectral Properties of Schrödinger Operators with Decaying Potentials

17 citations · 19 across the 7 of their papers we have counts for

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3 papers · 1 filter

math.CA2004

Asymptotics of the orthogonal polynomials for the Szego class with a polynomial weight

S. Denisov, S. Kupin

Let p(t) be a trigonometric polynomial, non-negative on the unit circle. We say that a measure σbelongs to a polynomial Szego class, if the logarithm of its density is summable ove…

math.CA2004

The Szego class with a polynomial weight

S. Denisov, S. Kupin

Let p be a trigonometric polynomial, nonnegative on the unit circle $T$ . We say that a measure $σ$ on $T$ belongs to the polynomial Szego class, if $dσ=sigma'_{ac…

math.CA2002

Zeros of orthogonal polynomials on the real line

Sergey A. Denisov, Barry Simon

Let $p_{n} (x)$ be orthogonal polynomials associated to a measure $d μ$ of compact support in $R$ . If $E \neq \in s u pp (d μ)$ , we show there is a $δ > 0$ so that for all $n$ , either $p_{n}$ or…