Book Review
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MathSciNet review:
1566896
Full text of review:
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Book Information:
Author:
Hui-Hsiung Kuo
Title:
Gaussian measures in Banach spaces
Additional book information:
Lecture Notes in Math., no. 463, Springer-Verlag, Berlin, Heidelberg, New York, 1975, vi + 224 pp., $9.90.
R. M. Dudley, Jacob Feldman, and L. Le Cam, On seminorms and probabilities, and abstract Wiener spaces, Ann. of Math. (2) 93 (1971), 390–408. MR 279272, DOI 10.2307/1970780
Leonard Gross, Abstract Wiener spaces, Proc. Fifth Berkeley Sympos. Math. Statist. and Probability (Berkeley, Calif., 1965/66) Univ. California Press, Berkeley, Calif., 1967, pp. 31–42. MR 0212152
Naresh C. Jain and Michael B. Marcus, Integrability of infinite sums of independent vector-valued random variables, Trans. Amer. Math. Soc. 212 (1975), 1–36. MR 385995, DOI 10.1090/S0002-9947-1975-0385995-7
G. Kallianpur, Abstract Wiener processes and their reproducing kernel Hilbert spaces, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 17 (1971), 113–123. MR 281242, DOI 10.1007/BF00538863
J. Kuelbs, Gaussian measures on a Banach space, J. Functional Analysis 5 (1970), 354–367. MR 0260010, DOI 10.1016/0022-1236(70)90014-5
I. E. Segal, Tensor algebras over Hilbert spaces. I, Trans. Amer. Math. Soc. 81 (1956), 106–134. MR 76317, DOI 10.1090/S0002-9947-1956-0076317-8
I. E. Segal, Distributions in Hilbert space and canonical systems of operators, Trans. Amer. Math. Soc. 88 (1958), 12–41. MR 102759, DOI 10.1090/S0002-9947-1958-0102759-X
- 1.
- R. M. Dudley, J. Feldman and L. Le Cam, On seminorms and probabilities, and abstract Wiener spaces, Ann. of Math. (2) 93 (1971), 390-408. MR 43 #4995. MR 0279272
- 2.
- L. Gross, Abstract Wiener spaces (Proc. 5th. Berkeley Sympos. Math. Statist, and Prob., Berkeley and Los Angeles), Univ. of California Press, Berkeley, 1971. MR 212152
- 3.
- N. C. Jain and M. B. Marcus, Integrability of infinite sums of independent vector-valued random variables, Trans. Amer. Math. Soc. 212 (1975), 1-36. MR 385995
- 4.
- G. Kallianpur, Abstract Wiener processes and their reproducing kernel Hilbert spaces, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 17 (1971), 113-123. MR 43 #6961. MR 281242
- 5.
- J. Kuelbs, Gaussian measures on a Banach space, J. Functional Analysis 5 (1970), 354-367. MR 41 #4639. MR 260010
- 6.
- I. E. Segal, Tensor algebras over Hilbert spaces. I, Trans. Amer. Math. Soc. 81 (1956), 106-134. MR 17, 880. MR 76317
- 7.
- I. E. Segal, Distributions in Hilbert space and canonical systems of operators, Trans. Amer. Math. Soc. 88 (1958), 12-41. MR 21 #1545. MR 102759
Review Information:
Reviewer:
Michael B. Marcus
Journal:
Bull. Amer. Math. Soc.
82 (1976), 695-700
DOI:
https://doi.org/10.1090/S0002-9904-1976-14114-6
