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The Spaces $H_1$ and $H_{-1}$

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  • UserEdison Rragami
  • ClockThursday 15 March 2018, 14:00-15:00
  • HouseMR13.

If you have a question about this talk, please contact Loren E. Held .

The spaces $H_1$ and $H_{-1}$ are used in probability theory in order to ‘solve’ in greater generality the Poisson Equation for Continuous Time Markov Processes (equations of the form $V = -Lf$. The norm in $H_1$ is the continuous time analogue of the Dirichlet Energy, and $H_{-1}$ is its dual. I will construct these spaces, provide examples and discuss the Resolvent Equation and how it can be used.

This talk is part of the Part III Seminars series.

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