Change of variable in the one-dimensional Lebesgue integral

I. V. Orlov

Moscow State (V. I. Lenin) Pedagogical Institute

Abstract: We obtain necessary and sufficient conditions for the change of the variable in a one-dimensional Lebesgue integral in the case when the substituting function is quasibijective (see Definition 1).

UDC: 517.5

Received: 21.03.1972

 English version: Mathematical Notes, 1973, 13:5, 446–452

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