Many-dimensional operators of convolution type in spaces of weight-integrable functions

Resultado de la investigación: Contribución a una revistaArtículorevisión exhaustiva

Resumen

We show that a convolution operator in the weight space Lp is similar to a generalized convolution operator in Lp. We obtain necessary and sufficient conditions for an operator of convolution type, acting in a weight space, to have the Noether property in a cone. These conditions say, in effect, that the operator symbol must not degenerate on the hull of some tubular domain associated with the weight and the cone.

Idioma originalInglés
Páginas (desde-hasta)747-752
Número de páginas6
PublicaciónMathematical Notes of the Academy of Sciences of the USSR
Volumen16
N.º2
DOI
EstadoPublicada - ago 1974
Publicado de forma externa

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