Volterra Operator
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High Quality Content by WIKIPEDIA articles! In mathematics, in the area of functional analysis and operator theory, the Volterra operator, named after Vito Volterra, represents the operation of indefinite integration, viewed as a bounded linear operator on the space L2(0,1) of complex-valued square integrable functions on the interval (0,1). It is the operator corresponding to the Volterra integral equations.The Volterra operator, V, may be defined for a function x(s) L2(0,1) and a value t (0,1), as V is a bounded linear operator between Hilbert spaces, with Hermitian adjoint
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