2 papers
math.AP2025
Fundamental Solutions of the Logarithmic Laplacian: An Approach via the Division Problem
David Lee
Existence of the fundamental solution of the logarithmic Laplacian (in dimensions ) was established by Huyuan Chen and Laurent Véron (2024). In this note, we present an…
math.AP2025
An extension problem of higher order operators and operators of logarithmic type via renormalization
David Lee
We introduce a method of obtaining a higher order extension problem, á la Caffarelli-Silvestre, utilizing ideas from renormalization. Moreover, we give an alternative perspective…