On the pole and zero locations of rational Laplace transformations of non-negative functions
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- by Armen H. Zemanian PDF
- Proc. Amer. Math. Soc. 10 (1959), 868-872 Request permission
References
-
J. H. Mulligan, Jr., The effect of pole and zero locations on the transient response of linear, dynamic systems, Proc. I. R. E. vol. 37 (1949) pp. 516-529.
- Eugene Lukacs and Otto Szász, Certain Fourier transforms of distributions, Canad. J. Math. 3 (1951), 140–144. MR 41271, DOI 10.4153/cjm-1951-016-6
- Eugene Lukacs and Otto Szász, Certain Fourier transforms of distributions. II, Canad. J. Math. 6 (1954), 186–189. MR 61196, DOI 10.4153/cjm-1954-020-5
- Kinsaku Takano, Certain Fourier transforms of distributions, Tohoku Math. J. (2) 3 (1951), 306–315. MR 47816, DOI 10.2748/tmj/1178245486
- Eugene Lukacs and Otto Szász, Some nonnegative trigonometric polynomials connected with a problem in probability, J. Research Nat. Bur. Standards 48 (1952), 139–146. MR 0049369, DOI 10.6028/jres.048.019
- Eugene Lukacs and Otto Szász, Nonnegative trigonometric polynomials and certain rational characteristic functions, J. Research Nat. Bur. Standards 52 (1954), 153–160. MR 0061195, DOI 10.6028/jres.052.021
- David Vernon Widder, The Laplace Transform, Princeton Mathematical Series, vol. 6, Princeton University Press, Princeton, N. J., 1941. MR 0005923 M. R. Aaron and R. G. Segers, A necessary and sufficient condition for a bounded nondecreasing step response, I. R. E. Transactions vol. CT-5 (1958) pp. 226-227.
Additional Information
- © Copyright 1959 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 10 (1959), 868-872
- MSC: Primary 44.00
- DOI: https://doi.org/10.1090/S0002-9939-1959-0109996-5
- MathSciNet review: 0109996