In Kashiwara's thesis he uses $\mathcal{D}$-modules to investigate (systems of) linear PDEs with analytic coefficients. There are also mentions of
- analytic manifolds
- analytic linear PDEs
- analytic $\mathcal{D}$-modules
- analytic sheaves
- analytic spaces
and others...
I understand what an analytic function is.
My question is what is an analytic coefficient?
Is it a constant? Is it a an analytic polynomial?
It seems like an analytic coefficient means that that the coefficient can be any analytic function only depending on the independent variable.