On variation diminishing transformations on the circle

DOI10.1007/BF02843691zbMath0147.10603OpenAlexW2009612453MaRDI QIDQ2524450

R. E. Williamson, J. C. Mairhuber, I. J. Schoenberg

Publication date: 1959

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02843691

zbMATH Keywords

integral equations, integral transforms

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Cites Work

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• Remarks on de la Vallée Poussin means and convex conformal maps of the circle
• On Pólya frequency functions. I. The totally positive functions and their Laplace transforms
• An isoperimetric inequality for closed curves convex in even-dimensional Euclidean spaces
• Qualitatives über Wärmeausgleich
• A Miniature Theory in Illustration of the Convolution Transform
• On smoothing operations and their generating functions