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QUASI-VOLTERRA OPERATORS

Annotation

The operator working in the functional space is called a quasi-Volterra one in the finite system of the measurable sets ⊂ ⊂ … ⊂ , if the image of the function equal zero in e is the function equal zero in e. The conditions of the existence of the inverse quasi-Volterra operator are obtained. The results are applied to the studying of the quasi-Volterra integral operator in the space of summable functions.

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UDC

УДК 517.9

Pages

315-319

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