@inbook{6471055b7125457bb2976f3f714c5116,

title = "Onefold and Twofold Ellis–Gohberg Inverse Problems for Scalar Wiener Class Functions",

abstract = "The theory of onefold and twofold Ellis-Gohberg inverse problems for Wiener functions on the real line is specified further for the scalar case. Assuming the left onefold problem or the right onefold problem to be solvable, a necessary and sufficient condition is given for the twofold problem to be solvable. In that case the left and the right onefold problem are both solvable, and the solutions are equal. An example shows that the latter is not always true, i.e., the left and the right onefold problem are solvable does not imply that the solutions are equal.",

keywords = "Hankel operator, Inner-outer factorization, Inverse problem for orthogonal functions, Rational functions, Realization, Toeplitz operator, Wiener algebra",

author = "Kaashoek, {M. A.} and {van Schagen}, F.",

year = "2019",

doi = "10.1007/978-3-030-10850-2_13",

language = "English",

isbn = "9783030108496",

series = "Trends in Mathematics",

publisher = "Springer International Publishing AG",

pages = "257--267",

editor = "Gerard Busker and {de Jeu}, Marcel and Peter Dodds and Anton Schep and Fedor Sukochev and {van Neerven}, Jan and Anthony Wickstead",

booktitle = "Positivity and Noncommutative Analysis",

address = "Switzerland",

}