2026-04-14T18:12:55Zhttps://uvadoc.uva.es/oai/request

oai:uvadoc.uva.es:10324/680812024-12-18T15:53:23Zcom_10324_1129com_10324_931com_10324_894col_10324_1193

Molina Samper, Beatriz Palma Márquez, Jesús Sanz Sánchez, Fernando 2024-06-11T21:37:06Z 2024-06-11T21:37:06Z 2024 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 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. eng info:eu-repo/semantics/openAccess Stratified reduction of singularities of generalized analytic functions info:eu-repo/semantics/article