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Nagoya Mathematical Journal

The topological support of Gaussian measure in Banach space

N. N. Vakhania
Source: Nagoya Math. J. Volume 57 (1975), 59-63.
First Page: Show Hide
Primary Subjects: 60B05
Secondary Subjects: 28A40, 60G15
Full-text: Open access
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.nmj/1118795361
Mathematical Reviews number (MathSciNet): MR0388481
Zentralblatt MATH identifier: 0301.60006

References

[1] BaxaHHH, H. H., BepOHTHOCTHbie pacpeAejieHHH B jiHHefiHbix pocpaHCTBax. T6HJIHCH, 1971.
[2] Vakhania, N. N., On some questions of the theory of probability measures on Banach spaces. Lecture note at Nagoya University, 1973.
[3] Vakhania, N. N., On a property of Gaussian distributions in Banach spaces. Sankhya, The Journal of Indian Statistical Society. Series A, vol. 35 (1973), pp. 23-28.
Mathematical Reviews (MathSciNet): MR50:5883
Zentralblatt MATH: 0275.60011
[4] Sato, H., Gaussian measures on Banach space and abstract Wiener measure. Nagoya Math. J., vol. 36 (1969), pp. 65-81.
Mathematical Reviews (MathSciNet): MR40:2810
Zentralblatt MATH: 0185.44303
Project Euclid: euclid.nmj/1118797795
[5] BaxaHHH,H. H., 0 HeBbipoeHHbix pacpeejieHx BepHTHceft B pocpaHCTBax (1 P oo). TeopHH BepOHTH. Hee pHMeHeH., T. II, No. 3, (1966), cp 524-528.
[6] Balram S. Rajput, The support of Gaussian measures on Banach spaces. TeopHH BepOHTH. Hee pHMeHeH., T. 27, No. 4, (1972), cp 775-782.
Mathematical Reviews (MathSciNet): MR48:3086
Zentralblatt MATH: 0297.28010
[7] Ito, K., The topological support of Gauss measure on Hubert space. Nagoya Math. J., vol. 38 (1970), pp. 181-183.
Mathematical Reviews (MathSciNet): MR41:5947
Zentralblatt MATH: 0206.43001
Project Euclid: euclid.nmj/1118797973
[8] Vachania, N. N., Trager des Gausschen masses im Hilbertraum. Mathem. Nach- richten 64. Band (1974), pp. 319-322. Tbilisi University, USSR
Mathematical Reviews (MathSciNet): MR50:14863
Digital Object Identifier: doi:10.1002/mana.19740640119

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