Journal of Rational Mechanics and Analysis, Volume 3University of Indiana. Department of Mathematics., 1954 - Mathematics |
Contents
EBERHARD HOPF | 14 |
Iteration of a Markoff operator | 20 |
The maximal ergodic theorem for Markoff operators A and | 27 |
Copyright | |
2 other sections not shown
Other editions - View all
Common terms and phrases
according analytic applied arbitrary assume asymptotic axis body boundary bounded closed coefficients complex condition consequence consider constant contains continuous corresponding curve defined definition denote derivatives determined differential equations domain equal équations equivalent exists expression fact field finite fixed flow follows formula function given gives hand Hence holds identity implies independent inequality integral Lemma limit linear mapping material Math means method Moreover motion obtain operator partial plane positive problem proof properties prove reduces refer region relation remaining replaced respect result satisfies side singularities solution space Substituting sufficient surface tensor Theorem theory tion transformation unique vanishes variables vector virtue yields zero αβ