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Lax-Phillips Evolutions and Two-Space Wave Operators

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Mathematical Scattering Theory

Abstract

In this chapter the so-called Lax-Phillips scattering theory is linked with the two-space scattering theory developed in Chapter 9. It turns out that the special properties of the evolution of the Lax-Phillips-theory can be used for the construction of the second (unperturbed) evolution in the second space. The S-operator within this framework has very nice properties.

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© 1983 Springer Basel AG

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Baumgärtel, H., Wollenberg, M. (1983). Lax-Phillips Evolutions and Two-Space Wave Operators. In: Mathematical Scattering Theory. Operator Theory: Advances and Applications, vol 9. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5440-5_13

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  • DOI: https://doi.org/10.1007/978-3-0348-5440-5_13

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-5442-9

  • Online ISBN: 978-3-0348-5440-5

  • eBook Packages: Springer Book Archive

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