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The boundary control approach to the titchmarsh-weyl m-function. I. the response operator and the A-amplitude. / Avdonin, Sergei; Mikhaylov, Victor; Rybkin, Alexei.

In: Communications in Mathematical Physics, Vol. 275, No. 3, 01.11.2007, p. 791-803.

Research output: Contribution to journal › Article › peer-review

Harvard

Avdonin, S, Mikhaylov, V & Rybkin, A 2007, 'The boundary control approach to the titchmarsh-weyl m-function. I. the response operator and the A-amplitude', Communications in Mathematical Physics, vol. 275, no. 3, pp. 791-803. https://doi.org/10.1007/s00220-007-0315-2

APA

Avdonin, S., Mikhaylov, V., & Rybkin, A. (2007). The boundary control approach to the titchmarsh-weyl m-function. I. the response operator and the A-amplitude. Communications in Mathematical Physics, 275(3), 791-803. https://doi.org/10.1007/s00220-007-0315-2

Vancouver

Avdonin S, Mikhaylov V, Rybkin A. The boundary control approach to the titchmarsh-weyl m-function. I. the response operator and the A-amplitude. Communications in Mathematical Physics. 2007 Nov 1;275(3):791-803. https://doi.org/10.1007/s00220-007-0315-2

Author

Avdonin, Sergei ; Mikhaylov, Victor ; Rybkin, Alexei. / The boundary control approach to the titchmarsh-weyl m-function. I. the response operator and the A-amplitude. In: Communications in Mathematical Physics. 2007 ; Vol. 275, No. 3. pp. 791-803.

BibTeX

@article{626547205f9d4b40a86b8833271adc60,
title = "The boundary control approach to the titchmarsh-weyl m-function. I. the response operator and the A-amplitude",
abstract = "We link the Boundary Control Theory and the Titchmarsh-Weyl Theory. This provides a natural interpretation of the A-amplitude due to Simon and yields a new efficient method to evaluate the Titchmarsh-Weyl m-function associated with the Schr{\"o}dinger operator H = -∂x 2 + q(x) on L 2(0, ∞) with Dirichlet boundary condition at x = 0.",
author = "Sergei Avdonin and Victor Mikhaylov and Alexei Rybkin",
year = "2007",
month = nov,
day = "1",
doi = "10.1007/s00220-007-0315-2",
language = "English",
volume = "275",
pages = "791--803",
journal = "Communications in Mathematical Physics",
issn = "0010-3616",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - The boundary control approach to the titchmarsh-weyl m-function. I. the response operator and the A-amplitude

AU - Avdonin, Sergei

AU - Mikhaylov, Victor

AU - Rybkin, Alexei

PY - 2007/11/1

Y1 - 2007/11/1

N2 - We link the Boundary Control Theory and the Titchmarsh-Weyl Theory. This provides a natural interpretation of the A-amplitude due to Simon and yields a new efficient method to evaluate the Titchmarsh-Weyl m-function associated with the Schrödinger operator H = -∂x 2 + q(x) on L 2(0, ∞) with Dirichlet boundary condition at x = 0.

AB - We link the Boundary Control Theory and the Titchmarsh-Weyl Theory. This provides a natural interpretation of the A-amplitude due to Simon and yields a new efficient method to evaluate the Titchmarsh-Weyl m-function associated with the Schrödinger operator H = -∂x 2 + q(x) on L 2(0, ∞) with Dirichlet boundary condition at x = 0.

UR - http://www.scopus.com/inward/record.url?scp=34548434301&partnerID=8YFLogxK

U2 - 10.1007/s00220-007-0315-2

DO - 10.1007/s00220-007-0315-2

M3 - Article

AN - SCOPUS:34548434301

VL - 275

SP - 791

EP - 803

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 3

ER -

ID: 38721185