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Regularity of the Green’s operator on abstract Wiener space. (English) Zbl 0228.47034


MSC:

47G10 Integral operators
28C20 Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.)
45P05 Integral operators
46G12 Measures and integration on abstract linear spaces
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References:

[1] Dudley, R. M.; Feldman, J.; LeCam, L., On seminorms and probabilities, and abstract Wiener spaces, Ann. of Math., 93, 390-408 (1971) · Zbl 0193.44603
[2] Fernique, X., Intégrabilité des vecteurs Gaussiens, C. R. Acad. Sci. Paris, Ser. A, 270, 1698-1699 (1970) · Zbl 0206.19002
[3] Gross, L., Abstract Wiener spaces, (Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability (1965)), 31-42
[4] Gross, L., Potential theory on Hilbert space, J. Functional Analysis, 1, 123-181 (1967) · Zbl 0165.16403
[5] Landau, H. J.; Shepp, L. A., On the supremum of a Gaussian process, Sankhyā, Ser. A, 32, 369-378 (1970) · Zbl 0218.60039
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