Geodesic
The relation between lebesgue integrable and Birkhoff--Khinchin summable functions
Matematičeskie zametki, Tome 10 (1971) no. 2, pp. 219-228.

Voir la notice de l'article provenant de la source Math-Net.Ru

A necessary and sufficient condition is obtained for a transformation to satisfy the converse to the ergodic theorem. 
@article{MZM_1971_10_2_a11,
     author = {V. S. Shul'man},
     title = {The relation between lebesgue integrable and {Birkhoff--Khinchin} summable functions},
     journal = {Matemati\v{c}eskie zametki},
     pages = {219--228},
     publisher = {mathdoc},
     volume = {10},
     number = {2},
     year = {1971},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1971_10_2_a11/}
}
TY  - JOUR
AU  - V. S. Shul'man
TI  - The relation between lebesgue integrable and Birkhoff--Khinchin summable functions
JO  - Matematičeskie zametki
PY  - 1971
SP  - 219
EP  - 228
VL  - 10
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_1971_10_2_a11/
LA  - ru
ID  - MZM_1971_10_2_a11
ER  - 
%0 Journal Article
%A V. S. Shul'man
%T The relation between lebesgue integrable and Birkhoff--Khinchin summable functions
%J Matematičeskie zametki
%D 1971
%P 219-228
%V 10
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_1971_10_2_a11/
%G ru
%F MZM_1971_10_2_a11
V. S. Shul'man. The relation between lebesgue integrable and Birkhoff--Khinchin summable functions. Matematičeskie zametki, Tome 10 (1971) no. 2, pp. 219-228. http://geodesic.mathdoc.fr/item/MZM_1971_10_2_a11/