Ilya Shilin (Moscow Aviation Institute, Russia)

Some integral transforms related to SO(2,1), SO(3,1), SO(2,2), and some formulas involving Legendre or Whittaker functions

Abstract:
   We consider some integral transforms defined on a pair of representation spaces of pseudo-orthogonal group. These transforms are invariant with respect to a pair of corresponding representations. We apply these transforms for derivation some formulas involving Legendre or Whittaker functions.