Abstract
We prove that the dimension of the space of energy finite bounded solutions of the Schrödinger operator is invariant under rough isometries between graphs of bounded degree. This result generalizes those of Soardi and of the present author.
Original language | English |
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Pages (from-to) | 167-177 |
Number of pages | 11 |
Journal | Discrete Mathematics |
Volume | 263 |
Issue number | 1-3 |
DOIs | |
State | Published - 28 Feb 2003 |
Bibliographical note
Funding Information:E-mail address: [email protected] (Y.H. Lee). 1This work was supported by Korea Research Foundation Grant (KRF-2001-003-D00008).
Keywords
- Almost every path
- Extremal length
- Rough isometry