PGL2 over the p-adics. Its Representations, Spherical Functions, and Fourier Analysis

and generalities.- The irreducible unitary representations of PGL(2, ?) and their characters.- A description of all irreducible representations of K=PGL(2, 0).- Computation of the characters of G and of K.- The fourier transformation and inversion formulas for S u 0 for all u.