Abstract
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.
Cite
CITATION STYLE
Böttcher, A., Grudsky, S., & Iserles, A. (2012). The fox-li operator as a test and a spur for wiener-Hopf theory. In Essays in Mathematics and its Applications: In Honor of Stephen Smale’s 80th Birthday (Vol. 9783642288210, pp. 37–48). Springer-Verlag Berlin Heidelberg. https://doi.org/10.1007/978-3-642-28821-0_3
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