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.
|Number of pages||6|
|Journal||Mathematical Notes of the Academy of Sciences of the USSR|
|State||Published - Aug 1974|