The Application of Semigroup Theory

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


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.


Brownian Motion Transition Function Semigroup Theory Contraction Semigroup Laplace Trans 
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  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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