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Global solutions of the relativistic Vlasov-Maxwell system of plasma physics

E. Horst — 1990

CONTENTSIntroduction.....................................................................................................................................................5Notation........................................................................................................................................................10Prologue. Partial differential equations of first order. Maxwell's equations....................................................11§1. Partial differential equations of...

Trend estimation problems in time-series analysis

E. Pleszczyńska — 1973

CONTENTS1. Introduction............................................................................................................................................. 52. F-estimators........................................................................................................................................... 63. The role of the tests J* and T* in polynomial trend estimation problems.................................. 124. Testing the equivalence of two linear processes..............................................................................

Géométrie dans l'espace Tome 2

E. Pruvost — 1887

Leçons de géométrie analytique

Let M be a $C^{\infty}$ -smooth n-dimensional manifold and ν₁, ..., νₙ be $C^{\infty}$ -smooth vector fields on M which span the tangent space $T_{x} M$ at each point x ∈ M. The vector fields ν₁, ..., νₙ may have nonzero commutators. We construct a calculus of pseudodifferential operators (ψDOs) which act on sections of vector bundles over M and have symbols belonging to anisotropic analogues of the Hörmander classes $S_{ϱ, δ}^{r}$ , and apply it to semi-elliptic operators generated by ν₁,...,νₙ. The results obtained include the formula expressing...