Volterra kernel
From Encyclopedia of Mathematics
A (matrix) function 
of two real variables 
such that either 
if 
or 
if 
. If such a function is the kernel of a linear integral operator, acting on the space 
, and is itself square-integrable in the triangle in which it is non-zero, the operator generated by it is known as a Volterra integral operator (cf. Volterra operator).
Comments
See also Volterra equation.
How to Cite This Entry:
Volterra kernel. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Volterra_kernel&oldid=18329
Volterra kernel. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Volterra_kernel&oldid=18329
This article was adapted from an original article by A.B. Bakushinskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article