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Título:
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Distributions admitting a local basis of homogeneous polynomials
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Autores:
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Castrillón López, Marco ;
Gadea, P.M. ;
Muñoz Masqué, Jaime
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Tipo de documento:
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texto impreso
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Editorial:
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the American Romanian Academy of Arts and Sciences (USA), 1999
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/restrictedAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Teoría de números
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Materia = Ciencias: Matemáticas: Análisis numérico
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Tipo = Artículo
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Resumen:
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The paper is a survey of several results by the authors, the main one of them being the following characterization of homogeneous algebraic distributions: Let us consider a vertical distribution D on the vector bundle p:E?M locally spanned by vertical vector fields X1,?,Xr. Let ? be the Liouville vector field of the vector bundle. Then there exists an r×r invertible matrix with smooth entries (cij) such that the vector fields Yj=?ri=1cijXi, 1?j?r, are homogeneous algebraic of degree d if and only if there exists an r×r matrix A=(aij) of smooth functions given by [?,Xj]=?ri=1aijXi such that A restricted to the zero section of E is(d?1) times the identity matrix.
Examples and applications are given.
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En línea:
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https://eprints.ucm.es/id/eprint/24301/1/castrill%C3%B3n245pdf.pdf
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