A note on spectral properties of the p-adic tree
| dc.contributor.author | Klimek, Slawomir | |
| dc.contributor.author | Rathnayake, Sumedha | |
| dc.contributor.author | Sakai, Kaoru | |
| dc.contributor.department | Department of Mathematical Sciences, School of Science | en_US |
| dc.date.accessioned | 2016-09-28T13:14:38Z | |
| dc.date.available | 2016-09-28T13:14:38Z | |
| dc.date.issued | 2016 | |
| dc.description.abstract | We study the spectrum of the operator D∗D, where the operator D, introduced in Klimek et al. [e-print arXiv:1403.7263v2], is a forward derivative on the p-adic tree, a weighted rooted tree associated to ℤp via Michon’s correspondence. We show that the spectrum is closely related to the roots of a certain q − hypergeometric function and discuss the analytic continuation of the zeta function associated with D∗D. | en_US |
| dc.eprint.version | Author's manuscript | en_US |
| dc.identifier.citation | Klimek, S., Rathnayake, S., & Sakai, K. (2016). A note on spectral properties of the p-adic tree. Journal of Mathematical Physics, 57(2), 23512. http://doi.org/10.1063/1.4940339 | en_US |
| dc.identifier.uri | https://hdl.handle.net/1805/11034 | |
| dc.language.iso | en | en_US |
| dc.publisher | AIP | en_US |
| dc.relation.isversionof | 10.1063/1.4940339 | en_US |
| dc.relation.journal | Journal of Mathematical Physics | en_US |
| dc.rights | Publisher Policy | en_US |
| dc.source | ArXiv | en_US |
| dc.subject | p-adic tree | en_US |
| dc.subject | zeta function | en_US |
| dc.title | A note on spectral properties of the p-adic tree | en_US |
| dc.type | Article | en_US |