2 citations · 4 across the 9 of their papers we have counts for
10 papers
On AAA approximants on an interval to Nevanlinna-Pick functions and Pólya Frequency Series
Sergey A. Denisov, Maxim L. Yattselev
We study the connection between AAA (triple A) algorithm and multi-point Padé approximation when the approximated functions belong to either the Nevanlinna-Pick class or are Pólya…
Asymptotics of Polynomials Orthogonal on an Interval with Varying Weights
Sergey A. Denisov, Maxim L. Yattselev
We study strong asymptotics of orthogonal polynomials on an interval with varying weights, extending the framework of Totik's theorem on weighted orthogonal polynomials. Our result…
Pointwise behavior of SU(1,1) nonlinear Fourier transform
Sergey A. Denisov
We show that SU(1,1) NLFT can diverge pointwise for square-summable coefficients. As a consequence, we prove that the classical pointwise asymptotics of polynomials orthogonal on t…
Convergence of sparse square-summable NLFT
Sergey A. Denisov
We study the convergence of SU(1,1) and SU(2) nonlinear Fourier transform with sparse square-summable data. The asymptotics of the associated polynomials orthogonal on the unit cir…
The strong version of nonlinear Carleson conjecture fails
Sergey A. Denisov
In the context of the Dirac equation with square-summable potential, we study the Jost solutions and prove that the maximal function associated with the argument of the transmissio…
Wave operators for Jacobi matrices
Sergey A. Denisov, Giorgio Young
We study the wave operators for a Jacobi matrix whose spectral measure satisfies the Szegö condition. We prove existence and completeness of wave operators under a mild additional…
Strong Asymptotics of Multiple Orthogonal Polynomials for Angelesco Systems. Part I: Non-Marginal Directions
A. I. Aptekarev, S. A. Denisov, M. L. Yattselev
In this work, we establish strong asymptotics of multiple orthogonal polynomials of the second type for Angelesco systems with measures that satisfy Szegő conditions. We consider m…
The growth of polynomials orthogonal on the unit circle with respect to a weight w that satisfies ,
Sergey Denisov
We consider the weight w: 1<w<T on the unit circle and prove that the corresponding orthonormal polynomials can grow.
Orthogonal polynomials on the circle for the weight w satisfying conditions: w,1/w in BMO(T)
S. Denisov, K. Rush
In the case when the weight and its inverse belong to BMO(T), we prove the asymptotics of the monic orthogonal polynomials in L^p, 2<p<p_0. Immediate applications include the estim…
The sharp estimates on the orthogonal polynomials from the Steklov class
A. Aptekarev, S. Denisov, D. Tulyakov
We obtain the sharp lower bound for the uniform norm of the orthogonal polynomials in the Steklov class. We also prove the sharp estimates for the polynomial entropy in this class.