This article is cited in 2 scientific papers (total in 2 papers)
Asymptotic properties of some classes of generalized functions
Yu. N. Drozhzhinov, B. I. Zavialov
This paper studies the connection between the asymptotic and quasi-asymptotic properties at infinity of slowly increasing generalized functions with supports on the half-line and the asymptotic and quasi-asymptotic properties of the real parts of their Laplace and Fourier transforms in a neighborhood of the origin. The study is caried out in the scale of regularly varying self-similar functions. The results are applied to the study of the asymptotic properties of solutions of linear passive systems, and also to the study of the connection between Abel and Cesáro convergence (with respect to a self-similar weight) of the Fourier–Stieltjes series of nonnegative measures.
Bibliography: 13 titles.
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Mathematics of the USSR-Izvestiya, 1986, 26:1, 77–131
MSC: 46F10, 46F12
Yu. N. Drozhzhinov, B. I. Zavialov, “Asymptotic properties of some classes of generalized functions”, Izv. Akad. Nauk SSSR Ser. Mat., 49:1 (1985), 81–140; Math. USSR-Izv., 26:1 (1986), 77–131
Citation in format AMSBIB
\by Yu.~N.~Drozhzhinov, B.~I.~Zavialov
\paper Asymptotic properties of some classes of generalized functions
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\jour Math. USSR-Izv.
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This publication is cited in the following articles:
B. I. Zavialov, “On the asymptotic properties of functions holomorphic in tubular cones”, Math. USSR-Sb., 64:1 (1989), 97–113
V. Zh. Dumanyan, “On the uniform quasiasymptotics of the solutions of hyperbolic equations”, Math. USSR-Sb., 70:1 (1991), 109–128
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