3 papers
math.CA2025
A theorem concerning Fourier transforms: A survey
Aingeru Fernández-Bertolin, Luis Vega
In this note, we highlight the impact of the paper G. H. Hardy, A theorem concerning Fourier transforms, J. Lond. Math. Soc. (1) 8 (1933), 227--231 in the community of harmonic ana…
math.CA2025
On the Three Balls Inequality for Discrete Schr{ö}dinger Operators on Certain Periodic Graphs
Philippe Jaming, Yann Bourroux, Aingeru Fernández-Bertolin
We investigate quantitative unique continuation properties for discrete magnetic Schr{ö}dinger operators in certain periodic graphs. This unique continuation property will be quant…
math.AP2022
On (Global) Unique Continuation Properties of the Fractional Discrete Laplacian
Aingeru Fernández-Bertolin, Luz Roncal, Angkana Rüland
We study various qualitative and quantitative (global) unique continuation properties for the fractional discrete Laplacian. We show that while the fractional Laplacian enjoys stri…