More about Mellin transform in weak functions and Münts formula (Q1431118)

The paper generalizes a Müntz formula (mistakenly written as Münts) for the Mellin transform on a space of weak functions (given by the weak limit in \(L^2(0,\infty)\) of a sequence in terms of the orthogonal basis \(x^{-1/2}\psi_n(\log{x}),\;n\in\{0,1,2,\ldots\}\), where \(\psi_n(\xi)\) are Hermite functions). The \(\zeta\)- and shifted \(\zeta\)-function play a role in the formulae.