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Bibliography

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A. Erdélyi, Higher transcendental functions, I, McGraw-Hill, 1953.

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C. K. Hill, The Hilbert bound of a certain doubly-infinite matrix, J. London Math. Soc. vol. 32 (1957) pp. 7-17. MR 0084121 (18:812e)

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A. E. Ingham, A note on Hilbert's inequality, J. London Math. Soc. vol. 11 (1936) pp. 237-240.

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K. Kodaira, The eigenvalue problem for ordinary differential equations of the second order and Heisenberg's theory of -matrices, Amer. J. Math. vol. 71 (1949) pp. 921-945. MR 0033421 (11:438c)

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N. N. Lebedev, Some singular integral equations connected with integral representations of mathematical physics, C. R. (Doklady) Acad. Sci. URSS. vol. 65 (1949) pp. 621-624. MR 0029444 (10:604b)

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-, The analogue of Parseval's theorem for a certain integral transform, C. R. (Doklady) Acad. Sci. URSS. vol. 68 (1949) pp. 653-656. MR 0032831 (11:351k)

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W. Magnus, Ueber einige beschränkte Matrizen, Archiv der Mathematik, vol. 2 (1949-1950) pp. 405-412. MR 0044030 (13:357d)

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-, On the spectrum of Hilbert's matrix, Amer. J. Math. vol. 72 (1950) pp. 699-704. MR 0041358 (12:836e)

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M. Rosenblum, On the Hilbert matrix I, Proc. Amer. Math. Soc. vol. 9 (1958) pp. 137-140. MR 0094626 (20:1139)

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H. Shanker, An integral equation for Whittaker's confluent hypergeometric function, Proc. Cambridge Philos. Soc. vol. 45 (1949) pp. 482-483. MR 0029452 (10:606a)

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E. C. Titchmarsh, Eigenfunction expansions associated with second order differential equations, Oxford, 1946. MR 0019765 (8:458d)