Discrete-Time Fourier Transform Discrete Fourier Transform

Abstract

We study a derived version of Laumon's homogeneous Fourier transform, which exchanges Gm-equivariant sheaves on a derived vector bundle and its dual. In this context, the Fourier transform exhibits a duality between derived and stacky phenomena. This is the first in a series of papers on derived microlocal sheaf theory. 2 A. A. KHAN Appendix B. Computations on ○ A 1 and ○ A 1 × ○ A 1 24 B.1. The sheaf ○ j * (1) 24 B.2. The square of ○ j * (1) 26 References 28