On the Ranges of Mellin Multiplier Transformations
Copyright policy )On the Ranges of Mellin Multiplier Transformations
A transformation \(T \in [{\mathfrak L}_{\mu, k}]\) such that \((MTf) (s) = m(s) (Mf) (s)\) is called a multiplier transformation in connection with the Mellin transformation \(M\). For the cases in which \(m(s)\) has multiple zeros, theorems concerning the ranges of such multiplier transformations are given here. The results are restated in terms of the bilateral Laplace transformation and hence the Fourier transformation.
- University of Toronto Canada
Fourier transformation, Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, multiplier transformation, Applied Mathematics, Special integral transforms (Legendre, Hilbert, etc.), Mellin transformation, bilateral Laplace transformation, Multipliers in one variable harmonic analysis, Analysis
Fourier transformation, Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, multiplier transformation, Applied Mathematics, Special integral transforms (Legendre, Hilbert, etc.), Mellin transformation, bilateral Laplace transformation, Multipliers in one variable harmonic analysis, Analysis
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