Abstract
In this paper the Wiener-Hopf method for solving half range problems in transport theory is illustrated on a model with a finite number of scattering directions. First the problem is reduced to a system of Wiener-Hopf integral equations with a rational symbol. The latter system of equations is solved explicitly using a method of canonical factorization which is based on the idea of realization appearing in mathematical systems theory.
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Dedicated to K.M. Case on the occasion of his 65th birthday and P.F. Zweifel on the occasion of his 60th birthday
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© 1991 Springer Basel AG
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Gohberg, I., Kaashoek, M.A. (1991). The Wiener-Hopf Method for the Transport Equation: a Finite Dimensional Version. In: Greenberg, W., Polewczak, J. (eds) Modern Mathematical Methods in Transport Theory. Operator Theory: Advances and Applications, vol 51. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5675-1_3
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DOI: https://doi.org/10.1007/978-3-0348-5675-1_3
Publisher Name: Birkhäuser, Basel
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