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Fredholm solutions of partial integral equations

Published online by Cambridge University Press:  24 October 2008

Abdus Salam  and
F. Smithies
Abdus Salam
Affiliation:
St John's CollegeCambridge*
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Extract

The following ‘partial’ integral equation arises in the quantum theory of fields:

where f(x1x2) = f(x2x1), K(x1x2, y) = K(x2x1, y), and a symmetric solution of the equation is desired. The solution of (1) will be obtained as a special case of the solution of the following equation:

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 49 , Issue 2 , April 1953 , pp. 213 - 217
Copyright
Copyright © Cambridge Philosophical Society 1953

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References

REFERENCE

(1)Smithies, F.On Fredholm theory of integral equations. Duke math. J. 8 (1941), 107.CrossRefGoogle Scholar