This article is cited in 8 papers

Factorization of a scattering matrix and the serial structure of its roots

B. S. Pavlov


Abstract: The singular inner factor of the scattering matrix of a system of ordinary differential equations is computed directly in explicit form in terms of the equation coefficients. It is shown that the set of complex roots of the scattering matrix has a serial structure that is matched with the structure of its singular factor.

UDC: 517.9

MSC: Primary 34B25, 81A48, 47A40; Secondary 47A55

Received: 06.03.1972

 English version: Mathematics of the USSR-Izvestiya, 1973, 7:1, 215–245

Bibliographic databases:

• 
•