Un théorème de fonctions implicites sur certains espaces de Fréchet et quelques applications
Une théorie générale des infinitésimaux
Uniformly Continuous Set-Valued Composition Operators in the Spaces of Functions of Bounded Variation in the Sense of Riesz
We show that any uniformly continuous and convex compact valued Nemytskiĭ composition operator acting in the spaces of functions of bounded φ-variation in the sense of Riesz is generated by an affine function.
Upper quasi continuous maps and quasi continuous selections
The paper deals with the existence of a quasi continuous selection of a multifunction for which upper inverse image of any open set with compact complement contains a set of the form , where is open and , are from a given ideal. The methods are based on the properties of a minimal multifunction which is generated by a cluster process with respect to a system of subsets of the form .
Valeurs absolues des algèbres de Krasner
Variation preserving extensions and generalized essential variation.
Vector valued Loeb measures and the Lewis integral.
Wallis entre Hobbes et Newton. La question de l’angle de contact chez les anglais
Cet article traite d’un aspect de la controverse qui a opposé Hobbes et Wallis dans la deuxième moitié du xviie siècle, celui portant sur l’angle de contact. Wallis a publié deux traités sur l’angle de contact, l’un en 1656, l’autre en 1685. Entre ces deux dates sa position sur la question de l’angle de contact a sensiblement évolué. Durant la même période, il s’est opposé à Hobbes sur divers sujets de mathématiques, dont l’angle de contact. J’étudie les positions des deux protagonistes à travers...
w-dependance et dépendance générale au sens de Marczewski
Weak* sequential compactness and bornological limit derivatives.
Weaker forms of continuity and vector-valued Riemann integration
It was proved by Kadets that a weak*-continuous function on [0,1] taking values in the dual of a Banach space X is Riemann-integrable precisely when X is finite-dimensional. In this note, we prove a Fréchet-space analogue of this result by showing that the Riemann integrability holds exactly when the underlying Fréchet space is Montel.
Weierstrass division theorem in definable germs in a polynomially bounded o-minimal structure
We give some examples of polynomially bounded o-minimal expansions of the ordered field of real numbers where the Weierstrass division theorem does not hold in the ring of germs, at the origin of ℝⁿ, of definable functions.
Weierstrass division theorem in quasianalytic local rings
The main result of this paper is the following: if the Weierstrass division theorem is valid in a quasianalytic differentiable system, then this system is contained in the system of analytic germs. This result has already been known for particular examples, such as the quasianalytic Denjoy-Carleman classes.
Weighted diffeomorphism groups of Banach spaces and weighted mapping groups [Book]
Weighted extended mean values
The author generalizes Stolarsky's Extended Mean Values to a four-parameter family of means F(r,s;a,b;x,y) = E(r,s;ax,by)/E(r,s;a,b) and investigates their monotonicity properties.
Weighted means and weighting functions
We present some properties of mixture and generalized mixture operators, with special stress on their monotonicity. We introduce new sufficient conditions for weighting functions to ensure the monotonicity of the corresponding operators. However, mixture operators, generalized mixture operators neither quasi-arithmetic means weighted by a weighting function need not be non- decreasing operators, in general.
When Lagrangean and quasi-arithmetic means coincide.
Whitney's extension theorem for nonquasianalytic classes of ultradifferentiable functions
Zur Lojasiewicz-Ungleichung für differenzierbare Funktionen.
Zur Theorie der Taylor'schen Reihe und der analytischen Functionen mit beschränktem Existenzbereich