2016 Fiscal Year Final Research Report
Spectral and scattering theory on geometric objects
| Project/Area Number |
25800073
|
|---|
| Research Category |
Grant-in-Aid for Young Scientists (B)
|
| Allocation Type | Multi-year Fund |
|---|
| Research Field |
Mathematical analysis
|
|---|
| Research Institution | Kobe University (2014-2016)
University of Tsukuba (2013) |
|---|
Principal Investigator |
Ito Kenichi 神戸大学, 理学研究科, 准教授 (90512509)
|
|---|
| Project Period (FY) |
2013-04-01 – 2017-03-31
|
| Keywords | 関数方程式 / 多様体上での解析 |
|---|
| Outline of Final Research Achievements |
I constructed a new general framework for the stationary scattering theory for the Schroedinger operator on a manifold with asymptotically Euclidean and/or hyperbolic funnel ends. I also succeeded in formulating the threshold resonances in a natural manner for the discrete Schroedinger operators on the discrete line and discrete half-line. Moreover, I obtained explicit expressions for the branching parts around thresholds for the resolvent of the discrete Laplacian on the square lattice.
|
| Free Research Field |
数物系科学
|
