scholarly journals Inverse scattering problems for half-line Schrödinger operators and Banach algebras

2018 ◽  
Vol 38 (5) ◽  
pp. 719
Author(s):  
Yaroslav Mykytyuk ◽  
Nataliia Sushchyk

Author(s):  
Kiyoshi Mochizuki ◽  
Igor Trooshin

AbstractWe consider Schrödinger operators on noncompact star-shaped graphs. The following topics will be treated under suitable decay conditions on the potential: characterization of the set of eigenvalues and expression of each eigen-projection; low-energy behavior of the resolvent, spectral representations of the operator restricted on infinite rays; determination of the Marchenko equations and the inverse scattering problems.









2017 ◽  
Vol 59 (8) ◽  
pp. 2089-2095 ◽  
Author(s):  
Yulang Liu ◽  
Zhiqin Zhao ◽  
Xiaozhang Zhu ◽  
Wei Yang ◽  
Zaiping Nie ◽  
...  


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