## Journal of Mathematics and Mechanics, Volume 3 |

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### Contents

The General Temporally Discrete Markoff Process EBERHARD HOPF Graduate Institute for Applied Mathematics Indiana University Bloomington I... | 14 |

Operator characterization of general Markoff processes | 16 |

Iteration of a Markoff operator | 20 |

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analytic function applied arbitrary assume asymptotic asymptotic series boundary conditions boundary value problem bounded coefficients conformal radius consider constant continuous coordinates corresponding curvature curve cylinder defined definition deformation denote dérivées determined discontinuities domain Duhamel integral elasticity electromagnetic field elliptic équations equivalent exists expression flow follows formula freien Stromlinien given grad gravitational harmonic functions Hence holds homogeneous solution implies inequality infinity initial conditions integral equation Kontur Kutta condition Lemma Liapunov function linear mapping Math Maxwell's equations notation obtain paper parameter partial differential equations plane positive properties prove real axis relation replaced respect satisfies scalar Section singularities solved stream function streamlines Strömung Substituting sufficiently surface integral symmetric T-integrable tenseur tensor Theorem 1.1 tion transformation transport equation unique vanishes variables vector velocity vorticity Widerstand yields zero