Transfer functions and local spectral uniqueness for Sturm-Liouville operators, canonical systems and strings

Langer, Heinz

doi:10.1007/s00020-016-2292-3

Record link:

https://resolver.obvsg.at/urn:nbn:at:at-ubtuw:3-1754
http://hdl.handle.net/20.500.12708/128

Title:

Transfer functions and local spectral uniqueness for Sturm-Liouville operators, canonical systems and strings

Citation:

Langer, H. (2016). Transfer functions and local spectral uniqueness for Sturm-Liouville operators, canonical systems and strings. Integral Equations and Operator Theory. https://doi.org/10.1007/s00020-016-2292-3

Publisher DOI:

10.1007/s00020-016-2292-3

CatalogPlus:

AC11360117

Publication Type:

Article - Original Research Article

Language:

English

Authors:

Langer, Heinz

Organisational Unit:

E101 - Institut für Analysis und Scientific Computing

Journal:

Integral Equations and Operator Theory

ISSN:

0378-620X

Date (published):

May-2016

Publisher:

Birkhäuser

Peer reviewed:

Yes

Keywords:

Inverse problems; Sturm–Liouville operators; Canonical systems; Strings; Local spectral uniqueness; Spectral measure; Transfer function

Abstract:

It is shown that transfer functions, which play a crucial role in M.G. Krein’s study of inverse spectral problems, are a proper tool to formulate local spectral uniqueness conditions.

Additional information:

The final publication is available at Springer via <a href="https://doi.org/10.1007/s00020-016-2292-3" target="_blank">https://doi.org/10.1007/s00020-016-2292-3</a>.

License:

CC BY 4.0