Timeline for Explaining Mukai-Fourier transforms physically
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 18, 2021 at 15:41 | vote | accept | Tom Copeland | ||
| Feb 15, 2020 at 20:28 | comment | added | Tom Copeland | More on the analogue of Fourier convolution in a 2019 answer to mathoverflow.net/questions/9834/… | |
| Sep 28, 2012 at 9:29 | comment | added | Tom Copeland | You can't relate a "translation" (if that can be made sensible) of a skyscraper sheaf to "multiplication" by a "function" in the "dual space"? | |
| Sep 28, 2012 at 3:59 | comment | added | S. Carnahan♦ | I do not know an analogue of unitarity. The relationship between linear polynomials and directional derivatives in the usual Fourier theory can be rephrased in terms of an endomorphism on the ring of differential operators on affine space. You may be able to do something similar with the derived category of coherent sheaves on the product of the abelian variety and its dual, but I don't know a concrete answer. | |
| Sep 27, 2012 at 23:24 | comment | added | Tom Copeland | Can you deepen the analogy to include properties of the FT such as Parseval's relation or conversion of differentiation to multiplication? | |
| Sep 27, 2012 at 12:23 | comment | added | Dox | I like it too! is great! | |
| Sep 27, 2012 at 6:04 | history | answered | S. Carnahan♦ | CC BY-SA 3.0 |