Real Inversion Formulas for Laplace and Stieltjes Transforms.

Abstract

We provide probabilistic proofs for a number of real inversion formulas for the Laplace and for the Stieltjes transform. The main drawback of the method used in this paper is that the revelant integral transform has to be recovered from a potential inversion formula. The main virtue of the paper lies in singling out the relevance of the asymptotic behavior of the sequence d sub n for n to infinity; probabilistic arguments often provide this behavior immediately.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1985
Accession Number
ADA161270

Entities

People

  • Jozef L. Teugels

Organizations

  • University of North Carolina at Chapel Hill

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Contracts
  • Integral Transforms
  • Integrals
  • Inversion
  • Mathematics
  • Monotone Functions
  • North Carolina
  • Probability
  • Random Variables
  • Security
  • Sequences
  • Stochastic Processes
  • Theorems
  • Universities

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Theoretical Analysis.