@inbook{11ce528654b94fc889dbc6ed8f6bfdc7,

title = "Scattering theory for a class of non-selfadjoint extensions of symmetric operators",

abstract = "This work deals with the functional model for a class of extensions of symmetric operators and its applications to the theory of wave scattering. In terms of Boris Pavlov{\textquoteright}s spectral form of this model, we find explicit formulae for the action of the unitary group of exponentials corresponding to almost solvable extensions of a given closed symmetric operator with equal deficiency indices. On the basis of these formulae, we are able to construct wave operators and derive a new representation for the scattering matrix for pairs of such extensions in both self-adjoint and non-self-adjoint situations.",

keywords = "Boundary triples, Extensions of symmetric operators, Functional model, Scattering theory",

author = "Cherednichenko, {Kirill D.} and Kiselev, {Alexander V.} and Silva, {Luis O.}",

year = "2020",

month = jul,

day = "15",

doi = "10.1007/978-3-030-31531-3_14",

language = "English",

isbn = "9783030315306",

series = "Operator Theory: Advances and Applications",

publisher = "Springer",

pages = "194--230",

editor = "P. Kurasov and {Laptev }, A. and S. Naboko and B. Simon",

booktitle = "Operator Theory",

}