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Online ISSN 1552-4485; Print ISSN 0033-569X
Some properties of rational transfer functions and their Laplace transformations
Author:
Armen H. Zemanian
Journal:
Quart. Appl. Math. 17 (1959), 245-253
MSC:
Primary 44.00
DOI:
https://doi.org/10.1090/qam/106388
MathSciNet review:
106388
Full-text PDF Free Access
References | Similar Articles | Additional Information
- Armen H. Zemanian, On transfer functions and transients, Quart. Appl. Math. 16 (1958), 273–294. MR 102342, DOI https://doi.org/10.1090/S0033-569X-1958-0102342-2
- Murray F. Gardner and John L. Barnes, Transients in Linear Systems, John Wiley and Sons, Inc., New York, 1942. MR 0007508
- David F. Tuttle Jr., Network synthesis. Vol. 1, John Wiley & Sons, Inc., New York; Chapman & Hall, Ltd., London, 1958. MR 0107479
- Maximilian Mathias, Über positive Fourier-Integrale, Math. Z. 16 (1923), no. 1, 103–125 (German). MR 1544583, DOI https://doi.org/10.1007/BF01175675 M. Ky Fan, Les fonctions definies—positives et les fanctions completement monotones, Mem. Sci. Math., Acad. Sci. Paris, Fascicule 64 (1950)
- Harald Cramér, On the representation of a function by certain Fourier integrals, Trans. Amer. Math. Soc. 46 (1939), 191–201. MR 73, DOI https://doi.org/10.1090/S0002-9947-1939-0000073-2
- S. Bochner, Monotone Funktionen, Stieltjessche Integrale und harmonische Analyse, Math. Ann. 108 (1933), no. 1, 378–410 (German). MR 1512856, DOI https://doi.org/10.1007/BF01452844
- Kôsaku Yosida, On the representation of functions by Fourier integrals, Proc. Imp. Acad. Tokyo 20 (1944), 655–660. MR 14166 A. H. Zemanian, Bounds existing on the time and frequency responses of various types of networks, Proc. IRE 42, 835–839(1954) A. H. Zemanian and P. E. Fleischer, On the transient responses of ladder networks, Trans. IRE, PGCT CT-5, 197–201(1958) L. Weisner, Introduction to the theory of equations, The Macmillan Co., New York, 1938
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Article copyright:
© Copyright 1959
American Mathematical Society