Summary
The purpose of the paper is to present a formulation of the eigenvalue matrix equation of the Wiener-Hopf integral equation defined in finite and infinite ranges. The method provides a simple means for obtaining the eigenvalue equation and indicates a way for obtaining the eigenfunctions and the eigenvalue. The important contribution of the paper is the direct rather than the transform method of solution. Such a formulation is also helpful in the solution of inhomogeneous Wiener-Hopf equations in finite and infinite ranges.
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References
Youla, D. C., The Solution of a Homogeneous Wiener-Hopf Integral Equation, IRE Trans. on Information Theory, Vol IT-3, No. 3, Sept. 1957.
Morse, P. M. and H. Feshbach, Methods of Theoretical Physics, Pt. I, p. 981, McGraw-Hill.
Mittra, R., On the Solution of a Class of Wiener-Hopf Integral Equation for Finite and Infinite Ranges, Technical Report No. 37, Antenna Laboratory, University of Illinois.
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The research reported in this paper was carried out under Contract No. AF 33 (616)-6079 at the University of Illinois.
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Mittra, R. On the solution of an eigenvalue equation of the Wiener-Hopf type in finite and infinite ranges. Appl. sci. Res. 8, 201–207 (1960). https://doi.org/10.1007/BF02920056
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DOI: https://doi.org/10.1007/BF02920056