I heard that there is a duality of Markov semigroups acting on functionals or measures, does anyone of a reference of this materials?
2026-03-26 09:49:27.1774518567
Reference of duality in Markov Semigroup
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Maybe you need the Riesz Markov theorem
If instead you are interested in Feller semi-groups a good reference is foundation of modern probability (lemma 19.13 and proposition 19.14 gives you exactly the "duality" between Feller semi-groups and Feller processes)
If i remember correctly there is also something about general Markov processes in the book Diffusion, Markov processes and martingales, but i haven't it with me right now, so i can't be sure