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

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

doi:10.1002/mana.200310323

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

I. Gohberg, M.A. Kaashoek, A.L. Sakhnovich

Mathematics

Research output: Contribution to Journal › Article › Academic › peer-review

Abstract

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.

Original language	English
Pages (from-to)	1579-1590
Journal	Mathematische Nachrichten
Volume	278
Issue number	12-13
DOIs	https://doi.org/10.1002/mana.200310323
Publication status	Published - 2005

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MR2169701

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10.1002/mana.200310323

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title = "Taylor coefficients of a pseudo-exponential potential and the reflection coefficient of the corresponding canonical system",

abstract = "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. {\textcopyright} 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.",

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T1 - Taylor coefficients of a pseudo-exponential potential and the reflection coefficient of the corresponding canonical system

AU - Gohberg, I.

AU - Kaashoek, M.A.

AU - Sakhnovich, A.L.

N1 - MR2169701

PY - 2005

Y1 - 2005

N2 - 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.

AB - 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.

U2 - 10.1002/mana.200310323

DO - 10.1002/mana.200310323

M3 - Article

SN - 0025-584X

VL - 278

SP - 1579

EP - 1590

JO - Mathematische Nachrichten

JF - Mathematische Nachrichten

IS - 12-13

ER -

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

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