Applied Scientific Research, Section B

, Volume 8, Issue 1, pp 201–207 | Cite as

On the solution of an eigenvalue equation of the Wiener-Hopf type in finite and infinite ranges

  • R. Mittra


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.


Eigenvalue Problem Eigenvalue Equation Transcendental Equation Determinantal Equation Function Range 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1).
    Youla, D. C., The Solution of a Homogeneous Wiener-Hopf Integral Equation, IRE Trans. on Information Theory, Vol IT-3, No. 3, Sept. 1957.Google Scholar
  2. 2).
    Morse, P. M. and H. Feshbach, Methods of Theoretical Physics, Pt. I, p. 981, McGraw-Hill.Google Scholar
  3. 3).
    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.Google Scholar

Copyright information

© Martinus Nijhoff 1960

Authors and Affiliations

  • R. Mittra
    • 1
  1. 1.Antenna Laboratory, Department of Electrical EngineeringUniversity of IlliuoisUrbanaUSA

Personalised recommendations