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Fourier transform for D-algebras

Alexander Polishchuk·Mitchell Rothstein
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Abstract

We construct a version of Fourier transform for a class of non-commutative algebras over abelian varieties which include algebras of twisted differential operators generalizing the previous construction of Laumon (alg-geom/9603004) and of the second author (alg-geom/9602023). We also construct the microlocal version of this transform and its etale localization in the framework of Kapranov's theory of NC-schemes (see math.AG/9802041).

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Alexander Polishchuk, Mitchell Rothstein. 1999-01-04. Fourier transform for D-algebras. https://arxiv.org/abs/math/9901009

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