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Helson matrices induced by measures

Published 4 Jul 2024 in math.FA | (2407.04124v1)

Abstract: We introduce a family of Helson matrices induced by the Laplace transform of a class of regular positive Borel measures $\mu,$ not necessarily finite, on $(0, \infty)$ and discuss their boundedness, Schatten-class properties and scattering theory. We also briefly discuss the class of Helson matrices induced by signed measures.

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