Existence of Random Variables with Values in the Dual of a Nuclear Space.

Abstract

The aim of this article is to apply some results of L. Schwartz's theory of radonifying maps to prove existence theorems for infinite dimensional valued random variables. As a consequence, we deduce some known results in this direction due to K. Ito, M. Perez-Abreu C., and T. Bojdecki and L.G. Gorostiza.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1985
Accession Number
ADA161343

Entities

People

  • S. Ramaswamy

Organizations

  • University of North Carolina at Chapel Hill

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Availability
  • Banach Space
  • Classification
  • Data Science
  • Distribution Theory
  • Gaussian Processes
  • Hilbert Space
  • Information Science
  • North Carolina
  • Probability
  • Random Variables
  • Security
  • Statistics
  • Stochastic Processes
  • Theorems

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Mathematical Modeling and Probability Theory.

Technology Areas

  • Space