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We prove a topological decomposition of the space of meromorphic germs atzero in several variables with prescribed linear poles as a sum of spaces ofholomorphic and polar germs. Evaluating the resulting holomorphic projection atzero gives rise to a continuous evaluator (at zero) on the space of meromorphicgerms in several variables. Our constructions are carried out in the frameworkof Silva spaces and use an inner product on the underlying space of variables.They generalise to several variables, the topological direct decomposition ofmeromorphic germs at zero as sums of holomorphic and polar germs previouslyderived by the first and third author and provide a topological refinement of aknown algebraic decomposition of such spaces previously derived by the secondauthor and collaborators.

A topological splitting of the space of meromorphic germs in several variables and continuous evaluators