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Scattering on p-adic graphs

โœ Scribed by R.V. Romanov; G.E. Rudin


Book ID
104353064
Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
666 KB
Volume
34
Category
Article
ISSN
0898-1221

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โœฆ Synopsis


The scattering problem on the Bruhat-Tits tree and its quotient spaces realizing the p-adic Riemann surfaces is studied. The spectral decomposition of the corresponding Laplace-Beltrami operator is constructed. The stationary S-matrix is obtained and the Lax-Phillips scattering theory for the problem is developed in a closed form. The Eisenstein series technique is applied to 1-1oop case. The analytical structure of the scattering matrix for joint spherical functions is described.


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