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 original | Inglés |
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Páginas (desde-hasta) | 747-752 |
Número de páginas | 6 |
Publicación | Mathematical Notes of the Academy of Sciences of the USSR |
Volumen | 16 |
N.º | 2 |
DOI | |
Estado | Publicada - ago. 1974 |
Publicado de forma externa | Sí |