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Ostrom, Theodore G.

The solutions of linear integral equations by means of Wiener integrals. (English) Zbl 0045.37304

Bull. Am. Math. Soc. 55, 343-354 (1949).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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Cited in 2 Documents

MSC:

45A05 Linear integral equations

Keywords:

integral equations, integral transforms
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References:

[1] Norbert Wiener, Generalized harmonic analysis, Acta Math. 55 (1930), no. 1, 117 – 258. · JFM 56.0954.02 · doi:10.1007/BF02546511
[2] R. H. Cameron and W. T. Martin, Transformations of Wiener integrals under translations, Ann. of Math. (2) 45 (1944), 386 – 396. · Zbl 0063.00696 · doi:10.2307/1969276
[3] R. H. Cameron and W. T. Martin, Transformations of Wiener integrals under a general class of linear transformations, Trans. Amer. Math. Soc. 58 (1945), 184 – 219. · Zbl 0060.29104
[4] R. H. Cameron and W. T. Martin, An expression for the solution of a class of non-linear integral equations, Amer. J. Math. 66 (1944), 281 – 298. · Zbl 0063.00697 · doi:10.2307/2371988
[5] R. H. Cameron and W. T. Martin, Evaluation of various Wiener integrals by use of certain Sturm-Liouville differential equations, Bull. Amer. Math. Soc. 51 (1945), 73 – 90. · Zbl 0063.00698
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