Introduction.
Part I Survey of Diffraction Theory.
The Early Theory of Diffraction.
Fresnel-Kirchhoff Diffraction Theory.
Stationary and Time-Dependent Diffraction.
The Sommerfeld Theory of Diffraction by Half-Plane.
Diffraction byWedge After Sommerfeld's Article.
Part II Method of Automorphic Functions on Complex Characteristics.
Stationary Boundary Value Problems in Convex Angles.
Extension to the Plane.
Boundary Conditions via the Cauchy Data.
Connection Equation on the Riemann Surface.
On Equivalence of the Reduction.
Undetermined Algebraic Equations on the Riemann Surface.
Automorphic Functions on the Riemann Surface.
Functional Equation with a Shift.
Lifting to the Universal Covering.
The Riemann-Hilbert Problem on the Riemann Surface.
The Factorization.
The Saltus Problem and Final Formula.
The Reconstruction of Solution and the Fredholmness.
Extension of the Method to Non-convex Angle.
Comments.