@inbook{ea6009a7d7a24ed18b40c2c1982a1eb1,

title = "A toeplitz-like operator with rational symbol having poles on the unit circle i: Fredholm properties",

abstract = "In this paper a definition is given for an unbounded Toeplitzlike operator with rational symbol which has poles on the unit circle. It is shown that the operator is Fredholm if and only if the symbol has no zeroes on the unit circle, and a formula for the index is given as well. Finally, a matrix representation of the operator is discussed.",

keywords = "Fredholm properties, Toeplitz operators, Unbounded operators",

author = "Groenewald, {G. J.} and {ter Horst}, S. and J. Jaftha and Ran, {A. C.M.}",

year = "2018",

doi = "10.1007/978-3-030-04269-1_10",

language = "English",

isbn = "9783030042684",

series = "Operator Theory: Advances and Applications",

publisher = "Springer International Publishing Switzerland",

pages = "239--268",

booktitle = "Operator Theory, Analysis and the State Space Approach",

}