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Edited by Kenneth A. Ribet, University of California, Berkeley, CA, and approved February 24, 2021 (received for review November 7, 2020)
Significance
We show an interrelation between the uniqueness aspect of the recent Fourier interpolation formula of D.R. and M.V. and the lattice-cross uniqueness set for the Klein–Gordon equation studied by H.H. and A.M.-R. With appropriate modifications, the approach applies in any even dimension
Abstract
In recent work, methods from the theory of modular forms were used to obtain Fourier uniqueness results in several key dimensions (
Footnotes
↵1A.B., H.H., A.M.-R., D.R., and M.V. contributed equally to this work.
- ↵2To whom correspondence may be addressed. Email: haakanh{at}kth.se.
Author contributions: A.B., H.H., A.M.-R., D.R., and M.V. performed research; and H.H. wrote the paper with contributions from all authors.
The authors declare no competing interest.
This article is a PNAS Direct Submission.
Data Availability
There are no data underlying this work.
Published under the PNAS license.
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Fourier uniqueness in even dimensions
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- Physical Sciences
- Mathematics
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