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Systems of meromorphic microdifferential equations

Orlando Neto (1996)

Banach Center Publications

We introduce the notion of system of meromorphic microdifferential equations. We use it to prove a desingularization theorem for systems of microdifferential equations.

Syzygies of modules and applications to propagation of regularity phenomena.

Alex Meril, Daniele C. Struppa (1990)

Publicacions Matemàtiques

Propagation of regularity is considered for solutions of rectangular systems of infinite order partial differential equations (resp. convolution equations) in spaces of hyperfunctions (resp. C∞ functions and distributions). Known resulys of this kind are recovered as particular cases, when finite order partial differential equations are considered.

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