Frantivsek vStampach

activity

20162026

most citedOptimal discrete Hardy-Rellich-Birman inequalities

1 citations · 2 across the 13 of their papers we have counts for

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Showing 2025Show all

3 papers · 1 filter

math.CA2025

Ratio asymptotics and zero density for orthogonal polynomials with varying Verblunsky coefficients

Rostyslav Kozhan, František Štampach

We study asymptotic behavior of orthogonal polynomials on the unit circle with varying Verblunsky coefficients $α_{n, N}$ when the ratio $n / N$ converges as $n, N \to \infty$ . First, we…

math.CA2025

A Herglotz-Nevanlinna function from the optimal discrete $p$ -Hardy weight

František Štampach, Jakub Waclawek

It was recently proved by Fischer, Keller, and Pogorzelski in [Integr. Equ. Oper. Theory, 95(24), 2023] that the classical discrete $p$ -Hardy inequality admits an improvement, and…

math.SP2025

The Borg-Marchenko uniqueness theorem for complex potentials

Alexander Pushnitski, František Štampach

We introduce and study a new theoretical concept of \textit{spectral pair} for a Schrödinger operator $H$ in $L^{2} (R_{+})$ with a bounded \textit{complex-valued} potential.…

Ratio asymptotics and zero density for orthogonal polynomials with varying Verblunsky coefficients

A Herglotz-Nevanlinna function from the optimal discrete p-Hardy weight

The Borg-Marchenko uniqueness theorem for complex potentials

A Herglotz-Nevanlinna function from the optimal discrete $p$ -Hardy weight