Arne Hendrickx

collaborators

2 papers

math.FA2025

Titchmarsh theorems for Hölder-Lipschitz functions on fundamental domains of lattices in $R^{d}$ with applications to boundedness of Fourier multipliers

Arne Hendrickx

We extend the classical Titchmarsh theorems to the Fourier transform of two types of Hölder-Lipschitz functions - additive and multiplicative - defined on fundamental domains of la…

math.AP2022

Global pseudo-differential operators on the Lie group $G = (- 1, 1)^{n}$

Duván Cardona, Roland Duduchava, Arne Hendrickx +1

In this work we characterise the Hörmander classes $\symbClassOn{m}ρδ{\group,\textnormal{Hör}}$ on the open manifold $\group = (-1,1)^n$. We show that by endowing the open manifold…

Titchmarsh theorems for Hölder-Lipschitz functions on fundamental domains of lattices in Rd with applications to boundedness of Fourier multipliers

Global pseudo-differential operators on the Lie group G=(−1,1)n

Titchmarsh theorems for Hölder-Lipschitz functions on fundamental domains of lattices in $R^{d}$ with applications to boundedness of Fourier multipliers

Global pseudo-differential operators on the Lie group $G = (- 1, 1)^{n}$