Preconstructibility of Tempered Solutions of Holonomic 𝒟-modules

In this paper, we prove the finiteness of the complexes of global sections of the sheaves of tempered holomorphic solutions of holonomic $\mathcal D$-modules on relatively compact subanalytic subsets of complex manifolds. Such a result partly solves a conjecture of Kashiwara and Schapira [17] on the constructibility of such complexes.