Personne
Martin Peter Stoller
Cette personne n’est plus à l’EPFL
Publications associées (4)
Fourier uniqueness and interpolation in Euclidean space
We prove that every Schwartz function in Euclidean space can be completely recovered given only its restrictions and the restrictions of its Fourier transform to all origin-centered spheres whose radii are square roots of integers. In particular, the only ...
EPFL2022Perturbed Fourier uniqueness and interpolation results in higher dimensions
Joao Pedro Gonçalves Ramos, Martin Peter Stoller
We obtain new Fourier interpolation and uniqueness results in all dimensions, extending methods and results by the first author and M. Sousa [11] and the second author [12]. We show that the only Schwartz function which, together with its Fourier transform ...
ACADEMIC PRESS INC ELSEVIER SCIENCE2022Fourier non-uniqueness sets from totally real number fields
Let K be a totally real number field of degree n >= 2. The inverse different of K gives rise to a lattice in Rn. We prove that the space of Schwartz Fourier eigenfunctions on R-n which vanish on the "component-wise square root" of this lattice, is infinite ...
EUROPEAN MATHEMATICAL SOC-EMS2022Fourier Interpolation From Spheres
In every dimension d >= 2, we give an explicit formula that expresses the values of any Schwartz function on R-d only in terms of its restrictions, and the restrictions of its Fourier transform, to all origin-centered spheres whose radius is the square roo ...
AMER MATHEMATICAL SOC2021