Inverse-Closedness of a Banach Algebra of Integral Operators on the Heisenberg Group
given at strobl07 (19.06.07 17:20)
We show that a class of integral operators on the Heisenberg group, given by the off-diagonal decay of the kernel, is inverse-closed. Using this result, we obtain a version of Wiener's lemma for convolution on the Heisenberg group. The same approach yields a similar result for a class of pseudodifferential operators.