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Infinite linear systems with homogeneous kernel of degree –1

Published online by Cambridge University Press:  09 April 2009

T. M. Cherry
T. M. Cherry
Affiliation:
Department of Mathematics, University of Melbourne.
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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.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 5 , Issue 2 , May 1965 , pp. 129 - 168
Copyright
Copyright © Australian Mathematical Society 1965

References

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