Michel Alexis

collaborators

3 papers

math.CA2022

The Steklov problem and Remainder Estimates for Krein Systems generated by a Muckenhoupt weight

Michel Alexis

We show that solutions to Krein systems, the continuous frequency analogue of orthogonal polynomials on the unit circle, generated by an $A_{2} (R)$ weight $w$ satisfying $w…

math.CA2022

Tops of dyadic grids

Michel Alexis, Eric Sawyer, Ignacio Uriarte-Tuero

We extend the notion of a dyadic grid of cubes in Euclidean space to include infinite dyadic cubes. These `tops' of a dyadic grid form a tiling of Euclidean space which is subject…

math.CA2019

Continuity of weighted operators, Muckenhoupt $A_{p}$ weights, and Steklov problem for orthogonal polynomials

Michel Alexis, Alexander Aptekarev, Sergey Denisov

We consider weighted operators acting on $L^{p} (R^{d})$ and show that they depend continuously on the weight $w \in A_{p} (R^{d})$ in the operator topology. Then, we use th…

The Steklov problem and Remainder Estimates for Krein Systems generated by a Muckenhoupt weight

Tops of dyadic grids

Continuity of weighted operators, Muckenhoupt Ap​ weights, and Steklov problem for orthogonal polynomials

Continuity of weighted operators, Muckenhoupt $A_{p}$ weights, and Steklov problem for orthogonal polynomials