The Fox–Li Operator as a Test and a Spur for Wiener–Hopf Theory [chapter]

Albrecht Böttcher, Sergei Grudsky, Arieh Iserles
2012 Essays in Mathematics and its Applications  
The paper is a concise survey of some rigorous results on the Fox-Li operator. This operator may be interpreted as a large truncation of a Wiener-Hopf operator with an oscillating symbol. Employing theorems from Wiener-Hopf theory one can therefore derive remarkable properties of the Fox-Li operator in a fairly comfortable way, but it turns out that Wiener-Hopf theory is unequal to the task of answering the crucial questions on the Fox-Li operator.
doi:10.1007/978-3-642-28821-0_3 fatcat:37ghbqbcsnbxhl6uomzzytggte