Some General Probabilistic Estimations for the Rate of Convergence in Operator Semigroup Representations.

Abstract

Starting from well-known estimations for the rate of convergence in Hille's, Philips' and Widder's representation formulas for operator semigroups this document shows that by a suitable probabilistic approach, these results are easily reobtained, and can immediately be generalized to arbitrary (probabilistic) representation formulas. Some examples are also considered. Keywords: Random variables; Linear operators; Approximation(Mathematics); Stochastic processes. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1985
Accession Number
ADA161359

Entities

People

  • Dietmar Pfeifer

Organizations

  • University of North Carolina at Chapel Hill

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Banach Space
  • Continuity
  • Convergence
  • Generators
  • Inequalities
  • Intervals
  • North Carolina
  • Polynomials
  • Probability
  • Random Variables
  • Stochastic Processes
  • Universities

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Statistical inference.