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Scattering on p-adic graphs. / Romanov, R. V.; Rudin, G. E.

In: Computers and Mathematics with Applications, Vol. 34, No. 5-6, 09.1997, p. 587-597.

Research output: Contribution to journal › Article › peer-review

Harvard

Romanov, RV & Rudin, GE 1997, 'Scattering on p-adic graphs', Computers and Mathematics with Applications, vol. 34, no. 5-6, pp. 587-597. https://doi.org/10.1016/s0898-1221(97)00155-7

APA

Romanov, R. V., & Rudin, G. E. (1997). Scattering on p-adic graphs. Computers and Mathematics with Applications, 34(5-6), 587-597. https://doi.org/10.1016/s0898-1221(97)00155-7

Vancouver

Romanov RV, Rudin GE. Scattering on p-adic graphs. Computers and Mathematics with Applications. 1997 Sep;34(5-6):587-597. https://doi.org/10.1016/s0898-1221(97)00155-7

Author

Romanov, R. V. ; Rudin, G. E. / Scattering on p-adic graphs. In: Computers and Mathematics with Applications. 1997 ; Vol. 34, No. 5-6. pp. 587-597.

BibTeX

@article{c590196510c44c7087f036bd7819fa7d,
title = "Scattering on p-adic graphs",
abstract = "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-loop case. The analytical structure of the scattering matrix for joint spherical functions is described.",
keywords = "Automorphic functions, Bruhat-Tits tree, Lax-Phillips approach, p-adic Riemann surface, Scattering",
author = "Romanov, {R. V.} and Rudin, {G. E.}",
note = "Funding Information: We are indebted to B. S. Pavlov for attracting our attention to scattering problems connected with p-adic groups. We thank our common teacher Yu. A. Kuperin for advice and care. We are grateful to S. I. Fedorov and A. Smirnov for fruitful discussions. We would like to thank L. D. Faddeev and L. O. Chekhov for essential remarks. The authors gratefully acknowledge the hospitality of the International Solvay Institute for Physics and Chemistry and personally I. Prigogine for the encouragement. We thank the Comission of the European Communities for financial support in the framework of the EC-Rnssia collaboration (ESPRIT P9282 ACTS).",
year = "1997",
month = sep,
doi = "10.1016/s0898-1221(97)00155-7",
language = "English",
volume = "34",
pages = "587--597",
journal = "Computers and Mathematics with Applications",
issn = "0898-1221",
publisher = "Elsevier",
number = "5-6",

}

RIS

TY - JOUR

T1 - Scattering on p-adic graphs

AU - Romanov, R. V.

AU - Rudin, G. E.

N1 - Funding Information: We are indebted to B. S. Pavlov for attracting our attention to scattering problems connected with p-adic groups. We thank our common teacher Yu. A. Kuperin for advice and care. We are grateful to S. I. Fedorov and A. Smirnov for fruitful discussions. We would like to thank L. D. Faddeev and L. O. Chekhov for essential remarks. The authors gratefully acknowledge the hospitality of the International Solvay Institute for Physics and Chemistry and personally I. Prigogine for the encouragement. We thank the Comission of the European Communities for financial support in the framework of the EC-Rnssia collaboration (ESPRIT P9282 ACTS).

PY - 1997/9

Y1 - 1997/9

N2 - 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-loop case. The analytical structure of the scattering matrix for joint spherical functions is described.

AB - 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-loop case. The analytical structure of the scattering matrix for joint spherical functions is described.

KW - Automorphic functions

KW - Bruhat-Tits tree

KW - Lax-Phillips approach

KW - p-adic Riemann surface

KW - Scattering

UR - http://www.scopus.com/inward/record.url?scp=0031221072&partnerID=8YFLogxK

U2 - 10.1016/s0898-1221(97)00155-7

DO - 10.1016/s0898-1221(97)00155-7

M3 - Article

AN - SCOPUS:0031221072

VL - 34

SP - 587

EP - 597

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

SN - 0898-1221

IS - 5-6

ER -

ID: 89589793