A handy formula for the Fredholm index of Toeplitz plus Hankel operators
  We consider Toeplitz and Hankel operators with piecewise continuous generating functions on $l^p$-spaces and the Banach algebra generated by them. The goal of this paper is to provide a transparent symbol calculus for the Fredholm property and a handy formula for the Fredholm index for operators in this algebra. 
Steffen Roch, Bernd Silbermann
math.FA