SCATTERING ON P-ADIC GRAPHS

Authors
ROMANOV RV RUDIN GE
Citation
Rv. Romanov et Ge. Rudin, SCATTERING ON P-ADIC GRAPHS, Computers & mathematics with applications, 34(5-6), 1997, pp. 587-597
Citations number
16
Categorie Soggetti
Computer Sciences",Mathematics,"Computer Science Interdisciplinary Applications
Journal title
Computers & mathematics with applications → ACNP
ISSN journal
08981221
Volume
34
Issue
5-6
Year of publication
1997
Pages
587 - 597
Database
ISI
SICI code
0898-1221(1997)34:5-6<587:SOPG>2.0.ZU;2-4
Abstract
The scattering problem on the Bruhat-Tits tree and its quotient spaces realizing the p-adic Riemann surfaces is studied. The spectral decomp osition of the corresponding Laplace-Beltrami operator is constructed. The stationary S-matrix is obtained and the Lax-Phillips scattering t heory for the problem is developed in a closed form. The Eisenstein se ries technique is applied to 1-loop case. The analytical structure of the scattering matrix for joint spherical functions is described.