Lagrange Inversion and Combinatorial Species with Uncountable Color Palette

ANNALES HENRI POINCARE(2021)

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Abstract
We prove a multivariate Lagrange-Good formula for functionals of uncountably many variables and investigate its relation with inversion formulas using trees. We clarify the cancellations that take place between the two aforementioned formulas and draw connections with similar approaches in a range of applications.
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32A05, 47J07, 05A15, 82B21, 81T15
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