Calculation of local formal Fourier transforms
Adam Graham-Squire
TL;DR
This paper presents a direct method for calculating local formal Fourier transforms of connections on the formal punctured disk, confirming previous results by Fang and Sabbah with a different approach.
Contribution
It introduces a more direct computational method for local formal Fourier transforms, validating earlier findings by Fang and Sabbah.
Findings
Confirmed previous results on local Fourier transforms
Developed a more direct calculation method
Validated the approach with alternative techniques
Abstract
We calculate the local Fourier transforms for connections on the formal punctured disk, corroborating the results of J. Fang and C. Sabbah using a different method. Our method is similar to Fang's, but more direct.
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Taxonomy
TopicsPolynomial and algebraic computation · Advanced Numerical Analysis Techniques · Cancer Treatment and Pharmacology