Laplacians on Infinite Graphs
Aleksey Kostenko
University of Ljubljana, Slovenia; and University of Vienna, AustriaNoema Nicolussi
University of Vienna, Austria
This book is published open access.
| Front matterDownload pp. i–iv | |
| AbstractDownload p. v | |
| ContentsDownload pp. vii–viii | |
| 1 | IntroductionDownload pp. 1–14 |
| 2 | Laplacians on graphsDownload pp. 15–31 |
| 3 | Connections via boundary tripletsDownload pp. 33–52 |
| 4 | Connections between parabolic propertiesDownload pp. 53–79 |
| 5 | One-dimensional Schrödinger operators with point interactionsDownload pp. 81–95 |
| 6 | Graph Laplacians as boundary operatorsDownload pp. 97–132 |
| 7 | From continuous to discrete and backDownload pp. 133–164 |
| 8 | ExamplesDownload pp. 165–197 |
| A | Boundary triplets and Weyl functionsDownload pp. 199–205 |
| B | Dirichlet formsDownload pp. 207–210 |
| C | Heat kernel boundsDownload pp. 211–212 |
| D | Glossary of notationDownload pp. 213–215 |
| IndexDownload pp. 217–219 | |
| ReferencesDownload pp. 221–232 |