Category Archives: Global analysis in Dirichlet spaces

Lecture 1. Semigroups in Banach spaces: The Hille-Yosida theorem

The first few lectures will be devoted to some elements of  the general theory of operators in Banach and Hilbert spaces which are useful when studying Dirichlet forms. In this lecture, we focus on the Hille–Yosida theorem. Let be a … Continue reading

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Global analysis in Dirichlet spaces

In Spring 2019, I will be teaching a graduate class at the University of Connecticut about heat kernels in Dirichlet spaces and their applications. This will be the occasion to prepare a set of lecture notes on topics which have … Continue reading

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