Nulcearity for power series kernels on higher dimensions
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Abstract
In this work we establish the nuclearity on Lebesgue spaces for a class of power series kernels in higher dimensions. This class includes important examples arising as Maclaurin series kernels as well as the Fox-Li and related operators. As a consequence we derive the rate of decay of the corresponding eigenvalues and trace formulae. 2020 Mathematics Subject Classification. Primary 47B35; Secondary 47C05, 47B06, 45C05
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- last seen: 2026-05-19T01:45:01.086888+00:00