Evaluation of various Wiener integrals by use of certain Sturm-Liouville differential equations

Authors:
R. H. Cameron and W. T. Martin

Journal:
Bull. Amer. Math. Soc. **51** (1945), 73-90

DOI:
https://doi.org/10.1090/S0002-9904-1945-08275-5

MathSciNet review:
0011401

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References | Additional Information

**1.**N. Wiener,*Generalized harmonic analysis*, Acta Math. 55 (1930) pp. 117-258, esp. pp. 214-234. (References to the author's earlier work on the integral are given here.) MR**1555316****2.**R. H. Cameron and W. T. Martin,*Transformations of Wiener integrals under a general class of linear transformations*, submitted to Transactions of American Mathematical Society.**3.**E. L. Ince,*Ordinary differential equations*, London, 1927.**4.**R. H. Cameron and W. T. Martin,*Transformations of Wiener integrals under translations*, Ann. of Math. vol. 45 (1944) pp. 386-396. MR**10346****5.**R. E. A. C. Paley and N. Wiener,*Fourier transforms in the complex domain*, Amer. Math. Soc. Colloquium Publications, vol. 19, 1934, New York, pp. 151 and 156. MR**1451142****6.**E. T. Whittaker and G. N. Watson,*A Course of modern analysis*, Cambridge, 4th ed., 1927.

Additional Information

DOI:
https://doi.org/10.1090/S0002-9904-1945-08275-5