Real Analytic Functions
Mostrando 1-4 de 4 artigos, teses e dissertações.
-
1. On analytic singularities of a class of vector fields on the torus / Sobre singularidades analíticas de soluções de uma classe de campos vetoriais no Toro
O objetivo principal deste trabalho é o estudo da regularidade anallítica global de certos operadores diferenciais definidos no toro. Uma ferramenta fundamental utilizada neste estudo são as séries parciais de Fourier, que nos permitem caracterizar tanto as distribuições periódicas quanto as funções anallíticas reais periódicas através do comport
Publicado em: 2009
-
2. Sufficient conditions for subellipticity on weakly pseudo-convex domains
Herein is outlined a method for studying a priori estimates by using the theory of ideals of functions. With this method a criterion is obtained for subelliptic estimates for the δ-Neumann problem. In case the boundary is real analytic, the theory of ideals of real-analytic functions gives a geometric interpretation of the criterion. For forms of type (p,n
-
3. Subellipticity on Pseudo-Convex Domains with Isolated Degeneracies
Previous work has lead the author to conjecture necessary and sufficient conditions for the subellipticity of the [unk]-Neumann problem on pseudoconvex domains. Here we outline a general method which reduces the problem of subellipticity to inequalities between germs of C∞ functions. We then describe how this method can be applied to prove the sufficiency
-
4. The structure of a class of finite ramified coverings and canonical forms of analytic matrix-functions in a neighborhood of a ramified turning point
Let X be the germ of a complex- or real-analytic manifold M at a point xo ∈ M, or the henselian germ of an algebraic manifold M over a field k of characteristic zero at a point xo ∈ M(k), D ⊂ X a divisor. Under some assumptions on D and its singularities we give a description of the structure, the singularities, and the divisor class group of all finit
The National Academy of Sciences.