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arXiv · 1010.2342

Fourier transform and rigidity of certain distributions

Binyong Sun·Chen-Bo Zhu
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Abstract

Let $E$ be a finite dimensional vector space over a local field, and $F$ be its dual. For a closed subset $X$ of $E$, and $Y$ of $F$, consider the space $D^{-ξ}(E;X,Y)$ of tempered distributions on $E$ whose support are contained in $X$ and support of whose Fourier transform are contained in $Y$. We show that $D^{-ξ}(E;X,Y)$ possesses a certain rigidity property, for $X$, $Y$ which are some finite unions of affine subspaces.

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BibTeXRIS

Binyong Sun, Chen-Bo Zhu. 2012-10-25. Fourier transform and rigidity of certain distributions. https://doi.org/10.1142/s0129167x12501297

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