Abstract
We study relations between commuting non-self-adjoint operators and corresponding fields of interacting systems, distributed in Euclidean space. It turns out that the input and output of the process must satisfy some remarkable systems of partial differential equations. A solution of the triangular model problem for a class of commuting operators is obtained. We come to natural formulations of scattering and inverse scattering problems for fields of systems and in some cases we obtain solutions of these problems.
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© 1982 Springer Basel AG
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Livšic, M.S. (1982). Commuting Operators and Fields of Systems, Distributed in Euclidean Space. In: Gohberg, I. (eds) Toeplitz Centennial. Operator Theory: Advances and Applications, vol 4. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5183-1_23
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DOI: https://doi.org/10.1007/978-3-0348-5183-1_23
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-5184-8
Online ISBN: 978-3-0348-5183-1
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