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6 - Perturbation Theory

Published online by Cambridge University Press:  27 July 2019

David Applebaum
Affiliation:
University of Sheffield
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Summary

Chapter 6 gives a brief introduction to perturbation theory. We mainly consider relatively bounded perturbations, with bounded perturbations being a special case. Chernoff’s product formula is established and used to give a probabilistic proof of the Feynman–Kac formula, with the aid of Wiener measure.

Type
Chapter
Information
Semigroups of Linear Operators
With Applications to Analysis, Probability and Physics
, pp. 116 - 128
Publisher: Cambridge University Press
Print publication year: 2019

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  • Perturbation Theory
  • David Applebaum, University of Sheffield
  • Book: Semigroups of Linear Operators
  • Online publication: 27 July 2019
  • Chapter DOI: https://doi.org/10.1017/9781108672641.007
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  • Perturbation Theory
  • David Applebaum, University of Sheffield
  • Book: Semigroups of Linear Operators
  • Online publication: 27 July 2019
  • Chapter DOI: https://doi.org/10.1017/9781108672641.007
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Perturbation Theory
  • David Applebaum, University of Sheffield
  • Book: Semigroups of Linear Operators
  • Online publication: 27 July 2019
  • Chapter DOI: https://doi.org/10.1017/9781108672641.007
Available formats
×