IDEAS home Printed from https://ideas.repec.org/a/eee/jmvana/v2y1972i3p282-306.html
   My bibliography  Save this article

On Gaussian measures in certain locally convex spaces

Author

Listed:
  • Rajput, Balram S.

Abstract

The main purpose of this paper is threefold: Firstly, the topological support of Gaussian measures on certain locally convex spaces is obtained. Secondly, strongly convergent series expansions of elements in separable Fréchet spaces, related to Gaussian measures, are obtained; this result is applied to obtain Karhunen-Loève-type expansions for Gaussian processes. Thirdly, it is shown that any zero-mean Gaussian measure on a separable Fréchet space can be obtained as the [sigma] extension of the canonical Gaussian cylinder measure of a separable Hilbert space. Other related problems are also discussed.

Suggested Citation

  • Rajput, Balram S., 1972. "On Gaussian measures in certain locally convex spaces," Journal of Multivariate Analysis, Elsevier, vol. 2(3), pages 282-306, September.
    • Handle: RePEc:eee:jmvana:v:2:y:1972:i:3:p:282-306
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0047-259X(72)90018-8
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:jmvana:v:2:y:1972:i:3:p:282-306. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/622892/description#description .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.