Volterra operator

In mathematics, in the area of functional analysis and operator theory, the Volterra operator, named after Vito Volterra, is a bounded linear operator on the space L2(0,1) of complex-valued square-integrable functions on the interval (0,1). On the subspace C(0,1) of continuous functions it represents indefinite integration. It is the operator corresponding to the Volterra integral equations. In mathematics, in the area of functional analysis and operator theory, the Volterra operator, named after Vito Volterra, is a bounded linear operator on the space L2(0,1) of complex-valued square-integrable functions on the interval (0,1). On the subspace C(0,1) of continuous functions it represents indefinite integration. It is the operator corresponding to the Volterra integral equations. The Volterra operator, V, may be defined for a function f ∈ L2(0,1) and a value t ∈ (0,1), as