On totalization of the Kurzweil-Henstock integral in the multidimensional space

Fourier series of functions with infinite discontinuities

“…Perhaps this can be best exemplified by using the so-called total value of the generalized Riemann integrals introduced by Saric in his works [6,7,8,9]. This brand new theory of integration, which takes the notion of residues of real valued functions into account, gives us the opportunity to integrate real valued functions that are not integrable in any of the known integration methods until now.…”