Volterra Operator: Functional Analysis, Operator Theory, Vito Volterra, Indefinite Integration, Bounded Linear Operator - Couverture souple

 
9786131059063: Volterra Operator: Functional Analysis, Operator Theory, Vito Volterra, Indefinite Integration, Bounded Linear Operator

Synopsis

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. 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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