Presse et revues
64 pages
- Aller à la page de la table des matièresI
- CONTENTS 1987 - VOLUME 305 - SECTION I - N° 4
- .......... Page(s) .......... 109
- .......... Page(s) .......... 109
- Recently, A. V. Arhangel'skii communicated to the author the following result: let us consider the collection consisting of separable, metrizable spaces X which contain a countable dense subset
such that and each point of isolated in X; let be the quotient spaces obtained by indentifying the points of each others. There exist 2e spaces homeomorphically distinct. In this Note, we characterize, among the spaces , those for which the spaces Cp() are analytic. [Cp() is the space of continuous real-valued functions on , endowed with the pointwise convergence topology.] In fact, we show that Cp() is analytic if and only if X- is K We also discuss about the nature of filters on defined by the traces of neighbourhoods of X-on .
- .......... Page(s) .......... 113
- .......... Page(s) .......... 113
- We establish a priori estimates in C0, v and C0, 1 norms for solutions of certain elliptic boundary value problems in the theory of homognization. We derive frome them uniform estimates on the Green's function and the Poisson kerne, as well as a theorem on the convergence of solutions to problems with Lp data.
- .......... Page(s) .......... 117
- .......... Page(s) .......... 117
- We show that every completely nonunitary contraction (on Hilbert space) in the class such that the dual algebra Generated by T has proprety for some belongs to the class belongs to the class has full analytic invariant subspaces, and is reflexive. We obtain as corollaries that any contraction whose absoutely continous par belongs to the class is reflexive as well any contraction whose left (or right) spectrum is diminating in the open unit disc Our reultes rely in an essential way on the techniques introduced in [7] and [10]
- .......... Page(s) .......... 121
- Let T be linear continous operator from a Banach space X to a Banach space Y such that is nuclear. in [4] it is affirmed that T is nuclear if Y** has the approximation proprety. We give a counter example to this affirmation. On the other hand, we prove that T is nuclear if Y*** has the approximation proprety.
- .......... Page(s) .......... 123
- Let T be a linear continuous operator on a Banach space. We give sufficient conditions ensuring ensuring the existence of a point x such that when
- .......... Page(s) .......... 131
- .......... Page(s) .......... 131
- Let M be a compact connected symplectic manifold of dimension m . We consider a symplectic action of on this manifold. If the Euler-Poincaré characteristic of M is non zero then there is an orbit of the action of dimension
- When the Euler-Poincaré characteristic vanish, a similar result can be formulated involving the span of M and the sympletic rank of the action.
- .......... Page(s) .......... 135
- .......... Page(s) .......... 135
- Let X be a continuous local martigal and L0 its local tim at 0. Under usual assumptions, if and only if and .
- .......... Page(s) .......... 139
- We answer some question of [3] and [4] about the existence and behaviour ot the solutions of a fuctional equation close to one satisfied by the stable laws. Also, we add to a result of [1], showing that in the case where a. e. to zero take place in the iterative process of [3], there is a weak convergence to a non trival limit.
- Stochastic Variation Calculus is used to study smoothness of the law of the solution of ordinary differential equations such as, where the excitation process () is supposed to be centered stationary Gaussian physically realizable. The methode used to handle this problem implies proving smoothness results about the exponential martignale connected to certain unbourded processes and results have their own interest.
- .......... Page(s) .......... 147
- .......... Page(s) .......... 147
- In this Note, we study the Boltzmann equation in a half-space, linearized around a Maxwellian of nonnul bulk velocity, with an prscribed entering flux. Then we look at more general boundry conditions, namely the so-called accommodation conditions.
- .......... Page(s) .......... 151
- By giving the first order term of asymptotic solutions of dispersive and (or) dissipative systems as the sum of a mean perturbation and an high frequency one, involving N amplitudes and N phases, we establish, under suitable hypothesis, a well dermined set of eqations for the amplitudes, the phases and the mean perturbation
- COMPTES RENDUS DE L'ACADEMIE DES SCIENES
- .......... Page(s) .......... I
- Logique
- .......... Page(s) .......... 101
- Algèbres de Lie
- .......... Page(s) .......... 105
- Analyse mathématique
- .......... Page(s) .......... 109
- Equations aux dérivées partielles
- .......... Page(s) .......... 113
- Analyse fonctionnelle
- Géométrie
- .......... Page(s) .......... 127
- Géométrie différentielle
- .......... Page(s) .......... 131
- Probabilités
- Physique mathématique
- .......... Page(s) .......... 151
Le taux de reconnaissance estimé pour ce document est de 92.47%.
En savoir plus sur l'OCR
En savoir plus sur l'OCR
Le texte affiché peut comporter un certain nombre d'erreurs. En effet, le mode texte de ce document a été généré de façon automatique par un programme de reconnaissance optique de caractères (OCR). Le taux de reconnaissance estimé pour ce document est de 92.47%.
Facebook
Twitter
Pinterest