Additive functionals on a space of continuous functions. I
HTML articles powered by AMS MathViewer
- by R. H. Cameron and Ross E. Graves PDF
- Trans. Amer. Math. Soc. 70 (1951), 160-176 Request permission
References
- 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. MR 10050, DOI 10.2307/2371988
- R. H. Cameron and W. T. Martin, Transformations of Wiener integrals under translations, Ann. of Math. (2) 45 (1944), 386–396. MR 10346, DOI 10.2307/1969276
- R. H. Cameron and W. T. Martin, The Wiener measure of Hilbert neighborhoods in the space of real continuous functions, J. Math. Phys. Mass. Inst. Tech. 23 (1944), 195–209. MR 11174, DOI 10.1002/sapm1944231195
- R. H. Cameron and W. T. Martin, The orthogonal development of non-linear functionals in series of Fourier-Hermite functionals, Ann. of Math. (2) 48 (1947), 385–392. MR 20230, DOI 10.2307/1969178 Ross E. Graves, Integral representations of linear and weak linear functionals defined over the Wiener space $C$, doctoral dissertation (unpublished), University of Minnesota, 1948.
- A. Kolmogoroff, Über die Summen durch den Zufall bestimmter unabhängiger Größen, Math. Ann. 99 (1928), no. 1, 309–319 (German). MR 1512451, DOI 10.1007/BF01459098
- R. E. A. C. Paley, N. Wiener, and A. Zygmund, Notes on random functions, Math. Z. 37 (1933), no. 1, 647–668. MR 1545426, DOI 10.1007/BF01474606
- Norbert Wiener, Generalized harmonic analysis, Acta Math. 55 (1930), no. 1, 117–258. MR 1555316, DOI 10.1007/BF02546511
- Gisiro Maruyama, Notes on Wiener integrals, K\B{o}dai Math. Sem. Rep. 2 (1950), 41–44. {Volume numbers not printed on issues until Vol. 7 (1955)}. MR 38020
Additional Information
- © Copyright 1951 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 70 (1951), 160-176
- MSC: Primary 46.3X
- DOI: https://doi.org/10.1090/S0002-9947-1951-0040590-8
- MathSciNet review: 0040590