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Volterra operator : ウィキペディア英語版 | Volterra operator
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 ''L''2(0,1) of complex-valued square integrable functions on the interval (0,1). It is the operator corresponding to the Volterra integral equations. ==Definition== The Volterra operator, ''V'', may be defined for a function ''f'' ∈ ''L''2(0,1) and a value ''t'' ∈ (0,1), as :
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