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We study the analyticity of the semigroups generated by a class of degeneratesecond order differential operators in the space $C(S_d)$, where $S_d$ is thecanonical simplex of $\R^d$. The semigroups arise from the theory ofFleming--Viot processes in population genetics.

Analyticity of a class of degenerate evolution equations on the canonical simplex of $\R^d$ arising from Fleming--Viot processes