The relation between lebesgue integrable and Birkhoff–Khinchin summable functions

V. S. Shul'man

Institute of Mathematics and Mechanics, Academy of Sciences of the Azerbaidzhan SSR

Abstract: A necessary and sufficient condition is obtained for a transformation to satisfy the converse to the ergodic theorem.

UDC: 517.5

Received: 21.08.1969

 English version: Mathematical Notes, 1971, 10:2, 553–558

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