Summary
This paper concerns the eigenproblem for convolution integral equations whose kernels can be expressed as finite or infinite Fourier transforms of integrable functions. A procedure which closely parallels previous work on displacement integral equations is derived and the problem of existence is treated. Approximations are obtained for both the eigenvalues and the eigenfunctions.
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The results of this paper are taken from the author's doctoral dissertation at the University of New Mexico. The research was supported by the United States Atomic Energy Commission.
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Roark, A.L. On the eigenproblem for convolution integral equations. Numer. Math. 17, 54–61 (1971). https://doi.org/10.1007/BF01395866
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DOI: https://doi.org/10.1007/BF01395866