Taylor coefficients of a pseudo‐exponential potential and the reflection coefficient of the corresponding canonical system | Zendy

Gohberg I. | Zendy; Kaashoek M. A. | Zendy; Sakhnovich A. L. | Zendy

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Taylor coefficients of a pseudo‐exponential potential and the reflection coefficient of the corresponding canonical system

Author(s) -

Gohberg I.,

Kaashoek M. A.,

Sakhnovich A. L.

Publication year - 2005

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.200310323

Subject(s) - mathematics , exponential function , taylor series , zero (linguistics) , reflection coefficient , reflection (computer programming) , mathematical analysis , connection (principal bundle) , geometry , physics , optics , philosophy , linguistics , computer science , programming language

We study the connections between the Taylor coefficients at zero of a pseudo‐exponential 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 pseudo‐exponential potential in terms of its Taylor coefficients at zero. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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