ABSTRACT
In this section we study some spectral properties of the partial integral operator (11.1). Unfortunately, very few is known on the spectrum of this operator in the general case. For special classes of partial integral operators, however, some information is available. We illustrate this in the present section for the operator
(14.1) Kz(t,s) = k'(t,T)z(T,s)d/J(T)
+Is m(s, O')z(t, O')dll(O'). This operator is general enough to cover various classes of equations arising in applications, and, on the other hand, special enough to admit a precise description of its spectral properties.
