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2024-06-11T21:37:06Z urn:hdl:10324/68081 Stratified reduction of singularities of generalized analytic functions Molina Samper, Beatriz Palma Márquez, Jesús Sanz Sánchez, Fernando Generalized analytic functions are naturally defined in manifolds with boundary and are built from sums of convergent real power series with non-negative real exponents. In this paper we deal with the problem of reduction of singularities of these functions.Namely, we prove that a germ of generalized analytic function can be transformed by a finite sequence of blowing-ups into a function which is locally of monomial type with respect to the coordinates defining the boundary of the manifold where it is defined. 2024-06-11T21:37:06Z 2024-06-11T21:37:06Z 2024 info:eu-repo/semantics/article Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Seria A Matemáticas. RACSAM. Vol. 118, n. 4. p. 1-28 1578-7303 https://uvadoc.uva.es/handle/10324/68081 10.1007/s13398-023-01486-8 eng info:eu-repo/semantics/openAccess Springer