Some remarks on the Brylinski–Radon and the Fourier transforms

We will study a relationship between the Brylinski–Radon and the Fourier transforms of a monodromic perverse sheaf. In fact we will show that they are equivalent modulo a constant perverse sheaf. As an application, we will discuss a relation between the Sklyanin transform and the Brylinski–Radon transform. © 2005 Elsevier Inc. All rights reserved