Conditions for pseudo-differential operators from $L^{p_1}(\mathbb {Z})$ into $L^{p_2}(\mathbb {Z})$ and from $L^{p_1}({\mathbb S}^1)$ into $L^{p_2}({\mathbb S}^1)$ to be nuclear are presented for $1\leq p_1$, $p_2<\infty .$ In the cases when $p_1=p_2,$ the trace formulas are given.
Tópico:
Mathematical Analysis and Transform Methods
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43
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Información de la Fuente:
FuenteProceedings of the American Mathematical Society
