Abstract:
Wiener–Hopf integral equations of the first kind belong to a class of
Wiener–Hopf equations of nonnormal type to which the classical Wiener–Hopf
method does not apply but the special
factorization method is completely applicable.
In this paper, we use the special factorization method to
obtain solvability conditions for Wiener–Hopf equations of the first kind.
Keywords:Wiener–Hopf equation of the first kind, Wiener algebra, symbol, zero of the
symbol, index of the symbol, index of the operator.
