Reflectionless property and related problems on 1D Schrödinger operators
55 mins 49 secs,
813.00 MB,
MPEG-4 Video
640x360,
29.97 fps,
44100 Hz,
1.94 Mbits/sec
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About this item
| Description: |
Kotani, S (Kwansei Gakuin University)
Friday 10 April 2015, 10:00-11:00 |
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| Created: | 2015-04-13 14:10 |
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| Collection: | Periodic and Ergodic Spectral Problems |
| Publisher: | Isaac Newton Institute |
| Copyright: | Kotani, S |
| Language: | eng (English) |
| Abstract: | Reflectionless property for 1D Schrödinger operators is defined by using their Weyl functions or Green functions. The property is especially important when potentials of Schrödinger operators are ergodic, and it is proved that the reflectionless property holds on their absolutely continuous spectra. On the other hand Remling showed the deterministic version. They are related to the shift operation of potentials. In this talk we discus the capability of its extension to KdV equation and propose several open problems. |
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