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The Application of Semigroup Theory

  • John Lamperti
Part of the Applied Mathematical Sciences book series (AMS, volume 23)

Abstract

The skeleton key which brings order out of all this chaos is the theory of semigroups; its application to Markov processes was developed in the early 1950’s, with W. Feller doing the pioneering work.

Keywords

Brownian Motion Transition Function Semigroup Theory Contraction Semigroup Laplace Trans 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. W. Feller (1952): “The parabolic differential equations and the associated semigroups of transformations,” Ann. of Math. 55, pp. 468–519.MathSciNetCrossRefMATHGoogle Scholar

Copyright information

© Springer-Verlag, New York Inc. 1977

Authors and Affiliations

  • John Lamperti
    • 1
  1. 1.Department of MathematicsDartmouth CollegeHanoverUSA

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