| Robert Horton Cameron | |
|---|---|
| Lahir | 1908 |
| Meninggal | 1989 |
| Kebangsaan | Amerika Serikat |
| Dikenal atas | Teorema Cameron–Martin |
| Penghargaan | Penghargaan Chauvenet (1944) |
| Karier ilmiah | |
| Bidang | matematikawan |
Robert Horton Cameron (1908 – 1989, Minnesota) adalah seorang matematikawan Amerika Serikat yang bekerja dalam bidang analisis dan teori peluang. Ia dikenal karena membuat teorema Cameron–Martin.
Publikasi pilihan
sunting- "Almost periodic transformations". Trans. Amer. Math. Soc. 36 (2): 276–291. 1934. doi:10.1090/s0002-9947-1934-1501742-0. MR 1501742.
- "Implicit functions of almost periodic functions". Bull. Amer. Math. Soc. 40 (12): 895–904. 1934. doi:10.1090/s0002-9904-1934-05999-8. MR 1562996.
- with Norbert Wiener: "Convergence properties of analytic functions of Fourier–Stieltjes transforms". Trans. Amer. Math. Soc. 46: 97–109. 1939. doi:10.1090/s0002-9947-1939-0000072-0. MR 0000072.
- with W. T. Martin: "Transformations of Wiener Integrals under Translations". Annals of Mathematics. 45 (2): 386–396. 1944. doi:10.2307/1969276. JSTOR 1969276. (2nd most cited of all Cameron and Martin's papers)
- with W. T. Martin: "The Wiener measure of Hilbert neighborhoods in the space of real continuous functions". J. Math. Phys. Mass. Inst. Tech. 23 (4): 195–209. 1944. doi:10.1002/sapm1944231195. MR 0011174.
- with W. T. Martin: "Transformations of Wiener integrals under a general class of linear transformations". Trans. Amer. Math. Soc. 58: 184–219. 1945. doi:10.1090/s0002-9947-1945-0013240-1. MR 0013240.
- with W. T. Martin: "Evaluation of various Wiener integrals by use of certain Sturm–Liouville differential equations". Bull. Amer. Math. Soc. 51 (2): 73–90. 1945. doi:10.1090/s0002-9904-1945-08275-5. MR 0011401.
- with W. T. Martin: "The orthogonal development of non-linear functionals in series of Fourier–Hermite functionals". Annals of Mathematics. 48 (2): 385–392. 1947. doi:10.2307/1969178. JSTOR 1969178. (most cited of all Cameron and Martin's papers)
- with W. T. Martin: "The behavior of measure and measurability under change of scale in Wiener space". Bull. Amer. Math. Soc. 53 (2): 130–137. 1947. doi:10.1090/s0002-9904-1947-08762-0. MR 0019259.
- with W. T. Martin: "The transformation of Wiener integrals by nonlinear transformations". Trans. Amer. Math. Soc. 66: 253–283. 1949. doi:10.1090/s0002-9947-1949-0031196-6. MR 0031196.
- with C. Hatfield, Jr.: "On the summability of certain orthogonal developments of nonlinear functionals". Bull. Amer. Math. Soc. 55 (2): 130–145. 1949. doi:10.1090/s0002-9904-1949-09186-3. MR 0028534.
- "A "Simpson's rule" for the numerical evaluation of Wiener's integrals in function space". Duke Math. J. 18 (1): 111–130. 1951. doi:10.1215/S0012-7094-51-01810-8. MR 0040589.
- "The first variation of an indefinite Wiener integral". Proc. Amer. Math. Soc. 2: 914–924. 1951. doi:10.1090/s0002-9939-1951-0045937-x. MR 0045937.
- with R. E. Fagen: "Nonlinear transformations of Volterra type in Wiener space" (PDF). Trans. Amer. Math. Soc. 75: 552–575. 1953. doi:10.1090/s0002-9947-1953-0059476-x. MR 0059476.
- "The translation pathology of Wiener space". Duke Math. J. 21 (4): 623–627. 1954. doi:10.1215/s0012-7094-54-02165-1. MR 0065033.
- "A family of integrals serving to connect the Wiener and Feynman integrals". J. Math. and Phys. 39: 126–140. 1960–1961. MR 0127776.
- with D. A. Storvick: "A translation theorem for analytic Feynman integrals". Trans. Amer. Math. Soc. 125: 1–6. 1966. doi:10.1090/s0002-9947-1966-0200987-0. MR 0200987.
- with D. A. Storvick: "Analytic continuation for functions of several complex variables". Trans. Amer. Math. Soc. 125: 7–12. 1966. doi:10.1090/s0002-9947-1966-0203081-8. MR 0203081.
- with D. A. Storvick: "An L2 analytic Fourier–Feynman transform". Michigan Math. J. 23 (1): 1–30. 1976. doi:10.1307/mmj/1029001617. MR 0404571.
- with D. A. Storvick: A simple definition of the Feynman integral, with applications (paperback). Providence, Rhode Island: AMS. 1983. ISBN 0821822888. (48 pages)
