Semistable Laws on Topological Vector Spaces.

Abstract

In this paper three types of results were discussed: Firstly, two Levy-Khinchin type representations of Poisson type infinitely divisible (i.D.) laws on certain topological vector (TV) spaces-one of these complements a known representation due to Dettweiler; Secondly, the r-semistable laws on locally convex TV spaces and also obtain good representation of their characteristic functions, Finally, the existence and the continuity of the semigroup mu superscript t where t greater than 0 of i.d. laws mu on locally convex TV spaces. These complement similar known results of Siebert.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1979
Accession Number
ADA088224

Entities

People

  • Albert Tortrat
  • Balram S. Rajput
  • Dong M. Chung

Organizations

  • University of Tennessee

Tags

DTIC Thesaurus Topics

  • Algebra
  • Banach Space
  • Continuity
  • Convergence
  • Convex Sets
  • Inequalities
  • Integrals
  • Mathematical Analysis
  • Mathematics
  • Sequences
  • Tennessee
  • Theorems
  • Topology
  • Universities
  • Vector Spaces

Fields of Study

  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.
  • Human-Computer Interaction (HCI).
  • Mathematical Modeling and Probability Theory.

Technology Areas

  • Space