2026-04-27T20:12:02Zhttps://uvadoc.uva.es/oai/requestoai:uvadoc.uva.es:10324/680812024-12-18T15:53:23Zcom_10324_1129com_10324_931com_10324_894col_10324_1193
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.
2024-06-11
2024-06-11
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