CORDIS Project
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This project seeks to develop a new theory of motivic integration that incorporates Mellin transforms. It aims to explore new mathematical frameworks for understanding Poisson summation formulas and their applications in various fields.
We aim to create a new and powerful theory of motivic integration which incorporates Mellin transforms.
The absence of motivic Mellin transforms is a major drawback of the existing theories.
Classical Mellin transforms are in essence Fourier transforms on the multiplicative group of local fields.
We aim to apply this theory to study new motivic Poisson summation formulas, new transfer principles, and applications of these.
All of this has so far only been studied in the presence of additive char…
CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
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