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oai:uvadoc.uva.es:10324/681762024-12-03T14:36:28Zcom_10324_1129com_10324_931com_10324_894col_10324_1193

Martín Villaverde, Rafael Rolin, Jean-Philippe Sanz Sánchez, Fernando 2012 Generalized power series extend the notion of formal power series by considering exponents of each variable ranging in awell ordered set of positive real numbers.Generalized analytic functions are defined locally by the sum of convergent generalized power series with real coefficients. We prove a local monomialization result for these functions: they can be transformed into a monomial via a locally finite collection of finite sequences of local blowings-up. For a convenient framework where this result can be established, we introduce the notion of generalized analytic manifold and the correct definition of blowing-up in this category. application/pdf https://uvadoc.uva.es/handle/10324/68176 eng Springer Local monomialization of generalized analytic functions info:eu-repo/semantics/article TEXT UVaDOC. Repositorio Documental de la Universidad de Valladolid Hispana