A microlocal F. and M. Riesz theorem with applications.

Título inglés	A microlocal F. and M. Riesz theorem with applications.
Título español	Un teorema de F. y M. Riesz microlocal con aplicaciones.
Autor/es	Brummelhuis, Raymondus G. M.
Organización	Dep. Math. Univ. Wisconsin, Madison (Wisconsin), Estados Unidos
Revista	0213-2230
Publicación	1989, 5 (1-2): 21-36, 11 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	Consider, by way of example, the following F. and M. Riesz theorem for Rn: Let μ be a finite measure on Rn whose Fourier transform μ* is supported in a closed convex cone which is proper, that is, which contains no entire line. Then μ is absolutely continuous (cf. Stein and Weiss [SW]). Here, as in the sequel, absolutely continuous means with respect to Lebesque measure. In this theorem one can replace the condition on the support of μ* by a similar condition on the wave front set WF(μ) of μ, while keeping the same conclusion. The resulting microlocal F. and M. Riesz theorem can be applied with great flexibility to derive F. and M. Riesz theorems for measures on Lie groups, measures satisfying partial differential equations, etc. This is, essentially, the program of this paper.
Clasificación UNESCO	120220
Palabras clave español	Análisis funcional ; Teoría de la medida
Código MathReviews	MR1057336
Código Z-Math	Zbl 0714.58055
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