The Topological Support of Gauss Measure on Hilbert Space

Kiyosi Ito

doi:10.1017/S0027763000013611

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Let X be a Hilbert space. The topological support of a Radon probability measure P on X is the least closed subset M of X that carries the total measure 1.

Crossref Citations

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Rajput, Balram S. 1972. On Gaussian measures in certain locally convex spaces. Journal of Multivariate Analysis, Vol. 2, Issue. 3, p. 282.

Rajput, Balram S. 1973. The Support of Gaussian Measures on Banach Spaces. Theory of Probability & Its Applications, Vol. 17, Issue. 4, p. 728.

Borell, Christer 1974. Convex measures on locally convex spaces. Arkiv för Matematik, Vol. 12, Issue. 1-2, p. 239.

Vachania, N. N. 1974. Träger des Gaussschen Maßes im Hilbertraum. Mathematische Nachrichten, Vol. 64, Issue. 1, p. 319.

Vakhania, N. N. 1975. The Topological Support of Gaussian Measure in Banach Space. Nagoya Mathematical Journal, Vol. 57, Issue. , p. 59.

Baker, Charles R. 1976. Probability in Banach Spaces. Vol. 526, Issue. , p. 1.

Baker, Charles R. 1978. Capacity of the gaussian channel without feedback. Information and Control, Vol. 37, Issue. 1, p. 70.

Gualtierotti, A.F. 1980. On average mutual information and capacity for a channel without feedback and contaminated gaussian noise. Information and Control, Vol. 46, Issue. 1, p. 46.

Mandelbaum, Avi 1984. Linear estimators and measurable linear transformations on a Hilbert space. Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, Vol. 65, Issue. 3, p. 385.

Baker, C. 1987. Capacity of the mismatched Gaussian channel. IEEE Transactions on Information Theory, Vol. 33, Issue. 6, p. 802.

Baker, C. R. and Gualtierotti, A. F. 1992. Absolute continuity and mutual information for Gaussian mixtures. Stochastics and Stochastic Reports, Vol. 39, Issue. 2-3, p. 139.

Majumdar, Suman 1994. Bayes compound and empirical Bayes estimation of the mean of a Gaussian distribution on a Hilbert space. Journal of Multivariate Analysis, Vol. 48, Issue. 1, p. 87.

Bogachev, V. I. 1996. Gaussian measures on linear spaces. Journal of Mathematical Sciences, Vol. 79, Issue. 2, p. 933.

Dudley, R. M. 2010. Selected Works of R.M. Dudley. p. 187.

Shih, Hsin-Hung 2011. On Steinʼs method for infinite-dimensional Gaussian approximation in abstract Wiener spaces. Journal of Functional Analysis, Vol. 261, Issue. 5, p. 1236.

Leahu, Haralambie 2011. On the Bernstein-von Mises phenomenon in the Gaussian white noise model. Electronic Journal of Statistics, Vol. 5, Issue. none,

Gualtierotti, Antonio F. 2015. Detection of Random Signals in Dependent Gaussian Noise. p. 217.

Gualtierotti, Antonio F. 2015. Detection of Random Signals in Dependent Gaussian Noise. p. 903.

Gualtierotti, Antonio F. 2015. Detection of Random Signals in Dependent Gaussian Noise. p. 993.

Gualtierotti, Antonio F. 2015. Detection of Random Signals in Dependent Gaussian Noise. p. 851.

Download full list

Article contents

The Topological Support of Gauss Measure on Hilbert Space

Extract

Save article to Kindle

Save article to Dropbox

Save article to Google Drive

Reply to: Submit a response

Your details

You have entered the maximum number of contributors

Conflicting interests