On the Invertibility of Classes of Integral Operators via Generalized Factorizations

We will present an invertibility characterization for Wiener‐Hopf plus and minus Hankel operators having (possibly) different Fourier symbols in the class of almost periodic functions within the context of Besicovitch spaces. Additionally, we will obtain a criterion for the one‐sided invertibility of corresponding Wiener‐Hopf plus and minus Hankel operators, considering equal Fourier symbols in their Wiener‐Hopf and Hankel parts. Such characterizations will be obtained based on a so‐called generalized factorization of the associated Fourier symbols. At the end, two concrete examples are given.