The Wiener-Hopf technique has been proven to be a very important method in engineering and mathematical physics. It is one of the few methods to obtain exact solutions of very difficult canonical problems. These problems concern an enormous variety of fields of application. They include diffraction of acoustic, elastic and electromagnetic waves, fracture mechanics, high speed and slow flow problems, fluid-structure interactions, diffusion models, crystal growth, geophysical applications, mathematical finance to name but a few. The central problem in application of the Wiener-Hopf technique is the factorization of a matrix of arbitrary order.
Our research activity is focused on the development of factorization techniques. The exact and approximate factorizations ideated in the past by Prof. V. Daniele are universally known.