Measures and Markov processes on function spaces
Journées sur la géométrie de la dimension infinie (Lyon, 1975), Mémoires de la Société Mathématique de France, no. 46 (1976), pp. 131-141. 
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     author = {Baxendale, Peter},
     title = {Measures and {Markov} processes on function spaces},
     booktitle = {Journ\'ees sur la g\'eom\'etrie de la dimension infinie (Lyon, 1975)},
     series = {M\'emoires de la Soci\'et\'e Math\'ematique de France},
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     publisher = {Soci\'et\'e math\'ematique de France},
     number = {46},
     year = {1976},
     doi = {10.24033/msmf.190},
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Baxendale, Peter. Measures and Markov processes on function spaces, dans Journées sur la géométrie de la dimension infinie (Lyon, 1975), Mémoires de la Société Mathématique de France, no. 46 (1976), pp. 131-141. doi : 10.24033/msmf.190. http://archive.numdam.org/articles/10.24033/msmf.190/

[1] N. Aronszajn, La théorie des noyaux reproduisants et ses applications, Proc. Camb. Phil. Soc. 39 (1943), 133-153. | MR | Zbl

[2] P. Baxendale, Gaussian measures on function spaces, Amer. Jour. Math. (to appear). | Zbl

[3] P. Baxendale, Wiener processes on manifolds of maps, (to appear). | Zbl

[4] M. Cantor, Sobolev inequalities for Riemannian bundles, Bull. Amer. Math. Soc., 80 (1974), 239-243. | MR | Zbl

[5] R.M. Dudley, Sample functions of the Gaussian process, Ann. Probability, 1 (1973), 66-103. | MR | Zbl

[6] R.M. Dudley, J. Feldman and L. Le Cam, On seminorms and probabilities and abstract Wiener spaces, Ann. of Math., 93 (1971), 390-408. | MR | Zbl

[7] X. Fernique, Régularité de processus gaussiens, Invent. Math., 12 (1971), 304-320. | EuDML | MR | Zbl

[8] I.I. Gihman and A.V. Skorohod, Stochastic differential equations, Springer-Verlag, 1972. | MR | Zbl

[9] L. Gross, Abstract Wiener spaces, Proc. Fifth Berkeley Symp. in Math. Stat. and Probability (1965), Vol. 2, Part. 1, 31-40. | MR | Zbl

[10] L. Gross, Potential theory on Hilbert space, Jour. Funct. Anal., 1 (1967), 123-182. | MR | Zbl

[11] L. Gross, Abstract Wiener measure and infinite dimensional potential theory, Lectures in Modern Analysis and Applications II, Springer Notes 140 (1970), 84-116. | MR | Zbl

[12] G. Kallianpur, Abstract Wiener processes and their reproducing kernel Hilbert spaces, Z. Wahr., 17 (1971), 113-123. | MR | Zbl

[13] H.J. Kushner, On the weak convergence of interpolated Markov chains to a diffusion, Ann. Probability, 2 (1974), 40-50. | MR | Zbl

[14] R. Palais et Al., Seminar on the Atiyah-Singer Index Theorem, Annals of Mathematical Studies, N° 57, Princeton, 1965. | MR | Zbl

[15] H. Sato, Gaussian measure on a Banach space and abstract Wiener measure, Nagoya Math. J., 36 (1969), 65-81. | MR | Zbl

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