[1] Kashiwara and Sato established the foundations of the theory of systems of linear partial differential equations with analytic coefficients, introducing a cohomological approach that follows the spirit of Grothendieck's theory of schemes.

Bernstein introduced a similar approach in the polynomial coefficients case.

Kashiwara's master thesis states the foundations of D-module theory.

His PhD thesis proves the rationality of the roots of b-functions (Bernstein–Sato polynomials), using D-module theory and resolution of singularities.

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