Email this article Note on a Nonstandard Eigenfunction of the Planar Fourier Transform
- Authors: Lanzara F.1, Maz’ya V.2
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Affiliations:
- Sapienza University of Rome
- University of Linköping
- Issue: Vol 224, No 5 (2017)
- Pages: 694-698
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/239665
- DOI: https://doi.org/10.1007/s10958-017-3444-y
- ID: 239665
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Abstract
We consider a nontrivial example of distributional eigenfunction of the planar Fourier transform. This eigenfunction is not a tensor product of univariate eigenfunctions. As a consequence, we obtain a formula for multi-dimensional eigenfunctions in dimension 2N.
About the authors
F. Lanzara
Sapienza University of Rome
Email: vlmaz@mai.liu.se
Italy, Piazzale Aldo Moro 2, Rome, 00185
V. Maz’ya
University of Linköping
Author for correspondence.
Email: vlmaz@mai.liu.se
Sweden, Linköping, 581 83
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