Titre : Comptes rendus de l'Académie des sciences. Série 1, Mathématique
Auteur : Académie des sciences (France). Auteur du texte
Éditeur : Elsevier (Paris)
Éditeur : Centrale des revuesCentrale des revues (Montrouge)
Éditeur : ElsevierElsevier (Paris)
Date d'édition : 1996-04-04
Notice du catalogue : http://catalogue.bnf.fr/ark:/12148/cb34394200t
Type : texte texte
Type : publication en série imprimée publication en série imprimée
Langue : français
Format : Nombre total de vues : 29122 Nombre total de vues : 29122
Description : 04 avril 1996 04 avril 1996
Description : 1996/04/04 (SER1,T322,N7). 1996/04/04 (SER1,T322,N7).
Droits : Consultable en ligne
Identifiant : ark:/12148/bpt6k5759454s
Source : Archives de l'Académie des sciences, 2008-94315
Conservation numérique : Bibliothèque nationale de France
Date de mise en ligne : 01/12/2010
- Aller à la page de la table des matièresI
- SOMMAIRE/SUMMARY 1996 - TOME 322 - SERIE I - N° 7
- .......... Page(s) .......... V
- .......... Page(s) .......... 605
- .......... Page(s) .......... 609
- .......... Page(s) .......... 613
- .......... Page(s) .......... 641
- Contrôle optimal/Optimal Control
- (voir tome 322, série I, 1996, p. 631 see Tome 322, Series I, 1996, p. 631).
- .......... Page(s) .......... 651
- .......... Page(s) .......... 669
- .......... Page(s) .......... 695
- Statistique/Statistics
- Distributions de type "fractal parabolique" dans la Nature "Parabolic fractal" distribution in Nature Jean LAHERRERE (voir tome 322, série II a, 1996, p. 535 see Tome 322, Series II a, 1996, p. 535).
- .......... Page(s) .......... 699
- CONTENTS 1996 - TOME 322 - SERIES I - No. 7
- .......... Page(s) .......... 605
- On the Ramanujan-Petersson conjecture over function fields.
- .......... Page(s) .......... 605
- We prove this conjecture for automorphic cuspidal representations of GL when r is odd, and we get a partial result when r is even. We also make precise the location of zeroes of Rankin-Selberg's L-functions of pairs. The first part of the proof consists in writing the numbers of Drinfeld's shtukas left fixed by the Frobenius homomorphisms as some Arthur truncated traces.
- .......... Page(s) .......... 609
- .......... Page(s) .......... 609
- We consider (orthonormal) scaling filters with minimal length which have a zero of multiplicity N at
and a zero of multiplicity 2M at
. Then, when
and
with a small enough positive
, the associated scaling filters are more regular than the Daubechies functions with the same support.
- .......... Page(s) .......... 613
- .......... Page(s) .......... 613
- A family of pseudodifferential operators which lead to local tomographies is characterized.
- We prove in this Note, by applying the compensated compactness method, following the ideas of Tartar [5] and DiPerna [1], the existence, in ], of a weak solution for the Cauchy problem for the quasilinear equation
- .......... Page(s) .......... 625
- Here we shall prove the dynamical law for Ginzburg-Landau vortices under certain pinning mechanism in both 2-d and higher dimensions. As a particular consequence we will show the dynamical behavior of vortex filaments and, the dynamical law for vortex-submanifold confined in a bounded domain.
- .......... Page(s) .......... 631
- Let be a bounded domain in having a smooth boundary , let and g: be a non-decreasing function of class C1 such that g(0)= 0. We first show that the quasilinear equation: in has a unique solution . Finally we establish exponential decay of the energy.
- .......... Page(s) .......... 635
- .......... Page(s) .......... 635
- In the present Note we study the space of holomorphic square integrable functions on a complex semi-group in Sp(n, ). We obtain the reproducing kernel of this space and its decomposition in the direct sum of the irreducible subspaces.
- .......... Page(s) .......... 641
- .......... Page(s) .......... 641
- Let be an interpolation pair; we prove that if is WCG for some then .
- .......... Page(s) .......... 645
- We define algebras similar to those of the Free Gaussian functor of Voiculescu, which admit free quasi-free states. These states are analogues of the quasi-free states of the CAR and CCR algebras. We show that these algebras are free products of other algebras, and that the associated von Neumann algebras are full type III factors. We give their complete classification in the almost-periodic case.
- Optimal Control
- Global existence and exponential decay of a quasilinear equation, Solange KOUEMOU-PATCHEU (see Tome 322, Series I, 1996, p. 631).
- .......... Page(s) .......... 651
- .......... Page(s) .......... 651
- We construct algebraic curves C defined over a finite field Fq such that thet number of Fq rational points of C is large relative to the genus of C. The methods of construction are based on the relationship between algebraic curves and their function fields, as welle as on narrow ray class extensions obtained from Drinfeld modules of rank 1.
- .......... Page(s) .......... 655
- Let be polynomials in . D the Weyl algebra of linear differential operators with coefficients in and . If the polynomials are weighted-homogeneous and if each subfamily of defines an isolated complete intersection singularity, then we provide an algorithm to construct a polynomial b(s) in C[s] and an operator P in D[s] such that the following functional equation holds: . Furthermore, in the particular case n = p = 2, we prove that the ideal of the polynomials b(s) satisfying such an equality is principal.
- .......... Page(s) .......... 659
- .......... Page(s) .......... 659
- We study the existence of generic Bernstein polynomials of an analytic map germ. We prove their existence for deformations with one parameter and, in the case of several parameters, for deformations of isolated complete intersection singularities as well as for deformations of polynomial maps.
- .......... Page(s) .......... 663
- We extend the morphism of integration on analytic family of cycles in the case of L2-forms. That's probably an optimal result. This generalisation is based on the fact that we can define a pull back on L2-forms.
- .......... Page(s) .......... 669
- .......... Page(s) .......... 669
- In this paper we give an integral formulae and an asymptotic behaviour for the number of lattice points with a sharp estimate for the remainder terme in the n-complex hyperbolic space.
- We exhibit an example of a compact Poisson manifold KT whose de Rham cohomology classes have representatives which are harmonic with respect to the exterior differentiald and the differential
of the canonical complex of KT. However, we prove that the first spectral sequence associated with the canonical double complex, introduced by Brylinski [2], does not degenerate at the first term. This shows that the problems A and B proposed by Brylinski ([2], p. 99, problem 1.3.5) have independent answers.
- .......... Page(s) .......... 679
- We show that the Clifford product between an effective harmonic form and a Kählerian Killing spinor ([4], [3], [9]) vanishes, which is the Kählerian analogue of Hijazi's result concerning Riemannian Killing spinors [3]. As a corollary, we prove that there is no parallel effective (p, p) form (p > 0) on Kähler-Einstein manifolds admitting a complex contact structure.
- .......... Page(s) .......... 685
- .......... Page(s) .......... 685
- In this Note, we give a positive answer to the question raised by Reid [5] about the existence of arithmetic hyperbolic links L such that S3\L is homeomorphic to H3/, where is not conjugate to a subgroup of any Bianchi group. We give two exemples of such links with complement homeomorphic to H3/ for subgroup of and ).
- .......... Page(s) .......... 689
- Using non classical umbral calculus defined by the elementary formal bigroup of first type on , we determine the image of by the Hurewicz homomorphism , where E is a ring-spectrum which defines a special C-oriented cohomology.
- .......... Page(s) .......... 695
- A large deviation principle is proved for Toeplitz quadratic forms of centered stationary gaussian processes. The rate functional is obtained by MEM method (maximum entropy on the mean) and by a sharp study of the behaviour of eigenvalues of a product of two Toeplitz matrices.
- Statistics
- "Parabolic fractal" distributions in Nature, Jean LAHERRERE (see Tome 322, Series II a, 1996, p. 535).
- .......... Page(s) .......... 699
- .......... Page(s) .......... 699
- Under the same assumptions as those needed for the convergence of the covariant components of the displacement fiel, we establish the convergence of the contravariant components of the scaled linearized strain tensor . More precisely, the scaled strains
and
for "membrane" shells, and
and
for "flexural" shells, have a limit, which is explicitly computed, when the thickness 2
approaches zero.
- MATHEMATIQUE MATHEMATICS 1996 - Tome 322 - Série I - N°7
- .......... Page(s) .......... V-VIII
- .......... Page(s) .......... 613
- .......... Page(s) .......... 641
- Contrôle optimal
- (voir tome 322, série I, 1996, p. 631)
- .......... Page(s) .......... 651
- .......... Page(s) .......... 659
- .......... Page(s) .......... 685
- .......... Page(s) .......... 695
- Statistique
- (voir tome 322, série II , 1996, p. 535)
- .......... Page(s) .......... 699
COMPTES RENDUS
DE L'ACADÉMIE DES SCIENCES
SÉRIE I «TOME 322
N° 7*4 AVRIL 1996
MATHEMATIQUE
DE L'ACADÉMIE DES SCIENCES
SÉRIE I «TOME 322
N° 7*4 AVRIL 1996
MATHEMATIQUE
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