Infinite linear systems with homogeneous kernel of degree –1

Autor:	T. M. Cherry
Rok vydání:	1965
Předmět:	Degree (graph theory) Kernel embedding of distributions Homogeneous differential equation Mathematical analysis Linear system ComputingMethodologies_DOCUMENTANDTEXTPROCESSING Homogeneous kernel System of linear equations Continuous linear operator Linear dynamical system Mathematics
Zdroj:	Journal of the Australian Mathematical Society. 5:129-168
ISSN:	0004-9735 1446-7887
DOI:	10.1017/s1446788700026744
Popis:	The main concern of this paper is with the solution of infinite linear systems in which the kernel k is a continuous function of real positive variables m, n which is homogeneous with degree –1, so that If k is a rational algebraic function it is supposed further that the continuity extends up to the axes m = 0, n > 0 and n = 0, m > 0; the possibly additional restriction when k is not rational is discussed in § 1,2.
Databáze:	OpenAIRE
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