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Solutions to holonomic $D$-modules: when are they square-integrable?

I want to apply the theory of $D$-modules to solve operator equations of several variables in the Bargmann space $$\mathcal H :=\bigg\{\psi \in \mathcal O^\text{an}_{\mathbb{C}^n}\,\,\bigg|\,\,\,\...
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