FACTORIZATION OF MATRICES DEPENDING ON A PARAMETER, AND ELLIPTIC EQUATIONS IN A HALFSPACE

Autor:	M A Šubin
Rok vydání:	1971
Předmět:	Pure mathematics Factorization Elliptic partial differential equation Modular elliptic curve General Mathematics Mathematical analysis Elliptic function Schoof's algorithm Lenstra elliptic curve factorization Elliptic boundary value problem Mathematics Jacobi elliptic functions
Zdroj:	Mathematics of the USSR-Sbornik. 14:65-84
ISSN:	0025-5734
DOI:	10.1070/sm1971v014n01abeh002604
Popis:	In this paper we prove the theorem that every matrix-function on the circle depending on a parameter admits a triangular factorization which is continuous in the parameter. Using this theorem, we manage to construct explicitly a regularizer of the boundary value problem for an elliptic system of pseudo-differential equations in a halfspace.8 figures. Bibliography: 16 items.
Databáze:	OpenAIRE
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