A note on the Newman-Schoenberg phenomenon

Curry, H.B., Schoenberg, I.J.: On Pólya frequency functions IV: The fundamental spline functions and their limits. J. Analyse Math.17, 71–107 (1966)Google Scholar

Dieudonné, J.: Calcul infinitésimal. Paris: Herrmann 1968Google Scholar

Doetsch, G.: Handbuch der Laplace-Transformation. Band I. Basel-Stuttgart: Birkhäuser 1971Google Scholar

Fung Kang: Generalized Mellin transforms I. Sci. Sinica7, 582–605 (1958)Google Scholar

Lang, S.: SL₂ (ℝ). Reading, Mass.: Addison-Wesley 1975Google Scholar

Meinardus, G.: Bemerkungen zur Theorie derB-splines. In: Spline-Funktionen, Vorträge und Aufsätze, pp. 165–175. K. Böhmer, G. Meinardus, W. Schempp editors. Mannheim-Wien-Zürich: Bibliographisches Institut 1974Google Scholar

Newman, D.J., Schoenberg, I.J.: Splines and the logarithmic function. Pacific J. Math.61, 241–258 (1975)Google Scholar

Schempp, W.: On the convergence of cardinal logarithmic splines. J. Approximation Theory23, 108–112 (1978)Google Scholar

Schempp, W.: Approximation und Transformationsmethoden. In: Numerische Methoden der Approximationstheorie. Band4, pp. 299–305. L. Collatz, G. Meinardus, H. Werner editors. Basel-Stuttgart: Birkhäuser 1978Google Scholar

Sneddon, I.N.: The use of integral transforms. New York: McGraw-Hill 1972Google Scholar

Titchmarsh, E.C.: Introduction to the theory of Fourier integrals. 2nd ed. Oxford: At the Clarendon Press 1967Google Scholar

Zemanian, A.H.: Generalized integral transformations. New York: Interscience 1968Google Scholar