The aim of this note is to consider a non trivial example of distributional eigenfunction of the planar Fourier transform. This eigenfunction is not a tensor product of univariate eigenfunctions. As a consequence a formula for multi-dimensional eigenfunctions in dimension $2N$ follows.
Note on a non standard eigenfunction of the planar Fourier transform / Lanzara, Flavia; Maz'Ya, Vladimir. - In: JOURNAL OF MATHEMATICAL SCIENCES. - ISSN 1072-3374. - STAMPA. - 224:(2017), pp. 694-698. [10.1007/s10958-017-3444-y]
Note on a non standard eigenfunction of the planar Fourier transform
LANZARA, Flavia;
2017
Abstract
The aim of this note is to consider a non trivial example of distributional eigenfunction of the planar Fourier transform. This eigenfunction is not a tensor product of univariate eigenfunctions. As a consequence a formula for multi-dimensional eigenfunctions in dimension $2N$ follows.File allegati a questo prodotto
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