Cordial Volterra Integral Equations 2

We study the mapping properties and spectra of the (cordial) Volterra integral operators of the form , 0 ≤ t ≤ T, where ϕ ∊L 1(0, 1), a ∊ C m (0 ≤ s ≤ t ≤ T), m ≥ 0. Also polynomial collocation methods for the solving the (cordial) Volterra integral equation μu = V ϕ, a u + f is examined. Here μ is real or complex parameter outside the spectrum of V ϕ, a as an operator in the space C[0, T].