Kernels of Wiener-Hopf plus Hankel operators with matching generating   functions
  Considered are Wiener--Hopf plus Hankel operators $W(a)+H(b):L^p(\mathbb{R}^+)\to L^p(\mathbb{R}^+)$ with generating functions $a$ and $b$ from a subalgebra of $L^\infty(\mathbb{R})$ containing almost periodic functions and Fourier images of $L^1(\mathbb{R})$-functions. If the generating functions $a$ and $b$ satisfy the matching condition   \begin{equation*} a(t) a(-t)=b(t) b(-t),\quad t\in\mathbb{R},   \end{equation*} an explicit description for the kernels and cokernels of the operators mentioned is given. 
Victor D. Didenko and Bernd Silbermann
math.FA