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Some spectral properties of an integral operator in potential theory

Published online by Cambridge University Press:  20 January 2009

John F. Ahner
John F. Ahner
Affiliation:
Department of Mathematics, Vanderbilt University, Nashville, Tennessee 37235
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In [7] Plemelj established some fundamental results in two- and three-dimensional potential theory about the eigenvalues of both the double layer potential operator and its adjoint, the normal derivative of the single layer potential operator. In [3] Blumenfeld and Mayer established some additional results concerning the eigenvalues of these integral operators in the case of ℝ2. The spectral properties established by Plemelj [7] and by Blumenfeld and Mayer [3] have had a profound effect in the area of integral equation methods in scattering and potential theory in both ℝ2 and ℝ3.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 29 , Issue 3 , October 1986 , pp. 405 - 411
Copyright
Copyright © Edinburgh Mathematical Society 1986

References

REFERENCES

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