Proof of a conjecture of I. J. Schoenberg
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- by I. I. Hirschman
- Proc. Amer. Math. Soc. 1 (1950), 63-65
- DOI: https://doi.org/10.1090/S0002-9939-1950-0032705-7
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References
- I. I. Hirschman Jr. and D. V. Widder, An inversion and representation theory for convolution transforms with totally positive kernels, Proc. Nat. Acad. Sci. U.S.A. 34 (1948), 152–156. MR 25617, DOI 10.1073/pnas.34.4.152
- I. J. Schoenberg, On totally positive functions, Laplace integrals and entire functions of the Laguerre-Polya-Schur type, Proc. Nat. Acad. Sci. U.S.A. 33 (1947), 11–17. MR 18706, DOI 10.1073/pnas.33.1.11
- George Pólya and Norbert Wiener, On the oscillation of the derivatives of a periodic function, Trans. Amer. Math. Soc. 52 (1942), 249–256. MR 7169, DOI 10.1090/S0002-9947-1942-0007169-X
- G. Szegö, On the oscillation of differential transforms. I, Trans. Amer. Math. Soc. 52 (1942), 450–462. MR 7170, DOI 10.1090/S0002-9947-1942-0007170-6
Bibliographic Information
- © Copyright 1950 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 1 (1950), 63-65
- MSC: Primary 27.0X
- DOI: https://doi.org/10.1090/S0002-9939-1950-0032705-7
- MathSciNet review: 0032705