β Scribed by I. Gohberg; M. A. Kaashoek; A. L. Sakhnovich
No coin nor oath required. For personal study only.
We study the connections between the Taylor coefficients at zero of a pseudoβexponential potential of a canonical system and the reflection coefficient of the system determined by this potential. This connection is expressed explicitly. The main result of this paper provides a characterization of a pseudoβexponential potential in terms of its Taylor coefficients at zero. (Β© 2005 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)
π SIMILAR VOLUMES
A new technique for the determination of reflection coefficients arising in dispersive systems is presented. The method makes use of cepstral analysis, which relies on a single measured signal. In earlier studies cepstral methods have been applied to reflection coefficient determination for non-disp
Given 8 linear differentid equation of the form dn) + 131 (t)z("'l) + . -+ a,,(t)z = 0 with variable coefficients defined on the poaitive aemi-sxis for t > 1. We denote its fundamental aet of solutions (FSS) by {exp [Jri(t) dt] } (i = 1,2,. . . ,n). In this paper we look for the asymptotic connectio