A. Bakan

activity

19982021

most citedExponential integral representations of theta functions

1 citations · 1 across the 6 of their papers we have counts for

collaborators

8 papers

math.AP2021

Hyperbolic Fourier series

Andrew Bakan, Haakan Hedenmalm, Alfonso Montes-Rodriguez +2

In this article we explain the essence of the interrelation described in [PNAS 118, 15 (2021)] on how to write explicit interpolation formula for solutions of the Klein-Gordon equa…

math.FA2020

Fourier uniqueness in $R^{4}$

Andrew Bakan, Haakan Hedenmalm, Alfonso Montes-Rodriguez +2

We show an interrelation between the uniqueness aspect of the recent Fourier interpolation formula of Radchenko and Viazovska and the Heisenberg uniqueness study for the Klein-Gord…

math.CA2019★ 1 cited

Exponential integral representations of theta functions

Andrew Bakan, Håkan Hedenmalm

Let $Θ_{3} (z) := \sum_{n \in Z} exp (iπ n^{2} z)$ be the standard Jacobi theta function, which is holomorphic and zero-free in the upper half-plane $H$ , and takes po…

math.CA2018

Universally starlike and Pick functions

Andrew Bakan, Stephan Ruscheweyh, Luis Salinas

Denote by $P_{l o g}$ the set of all non-constant Pick functions $f$ whose logarithmic derivatives $f^{'} / f$ also belong to the Pick class. Let $U (Λ)$ be…

math.FA2016

Smoothing of weights in the Bernstein approximation problem

Andrew Bakan, Jürgen Prestin

In 1924 S.Bernstein asked for conditions on a uniformly bounded on $R$ Borel function (weight) $w : R \to [0, + \infty)$ which imply the denseness of algebraic pol…

math.CA2016

Solvability of the Hankel determinant problem for real sequences

Andrew Bakan, Christian Berg

To each nonzero sequence $s := {s_{n}}_{n \geq 0}$ of real numbers we associate the Hankel determinants $D_{n} = det H_{n}$ of the Hankel matrices $\mathcal{H}_{n}:= (s…