Showing papers in "Journal of Functional Analysis in 1988"

TL;DR: On etudie le determinant associe au laplacien en fonction de la metrique sur une surface donnee et en particulier ses valeurs extremes quand the metrique est bien restreinte.

TL;DR: In this paper, the authors study the regularity of the moment √ u(x, v) dμ(v) in terms of fractional Sobolev spaces.

TL;DR: In this paper, the mapping properties of a spectral projection operator for Riemannian manifolds have been studied and the Sobolev inequality for Rn has been shown to generalize to Rn.

TL;DR: In this article, a simple matrix norm characterization of the subspaces of C ∗ -algebras is given, and the latter result is used to study the Haagerup tensor products and quotients of such sub-spaces.

TL;DR: In this paper, the density or non-density of smooth functions between two compact manifolds M n and N k in Sobolev spaces W 1, p (M n, N k ).

TL;DR: On etudie des ensembles de surfaces qui sont isospectrales par rapport a l'operateur de Laplace-Beltrami.

TL;DR: Theory locale. Diffusion de la chaleur sur des groupes de Lie connexes. Les conditions de Sobolev modifiees as discussed by the authors, i.e.

TL;DR: On etudie des operateurs de convolution singuliers sur des groupes de Lie nilpotents generaux, and plus specifiquement des operators don les noyaux ont pour supports des varietes de faible dimension and peuvent aussi contenir des facteurs polynomiaux exponentiels oscillatoires as discussed by the authors.

TL;DR: In this article, an existence theory and an asymptotic analysis for radiative transfer equations were presented, and it was shown that even if σ has a singularity (σ(0) = +∞), it has a solution ue ϵ L∞(R+ × X × SN).

TL;DR: In this article, the authors studied the duality of non-parametric integrands in the Sobolev case and obtained a description of the sub-differential of a nonparametric integral function.

TL;DR: In this article, the authors considered the problem of maximizing a functional R(u) = ∥u∥Lq∥▽u ∥Lp in W01,p(Ω)β{0).

TL;DR: In this article, it is proved that if p ⩾ 2 (resp. ⩽) then vol(Bpn ∩ Ek) ⩩� vol(bpn) ∩ Bpk) (respectively, p⩽ 2 and Bpn⩾ 1) then the subspace of Bpn ∈ Ek is a k-dimensional subspace.

TL;DR: In this article, a method of obtaining Gaussian upper bounds on heat kernels is described, which unifies and improves recent results for hypoelliptic operators in divergence form, and for Laplace-Beltrami operators on complete Riemannian manifolds.

TL;DR: This work states convergence results of (Ee, ne) to the couple (E, − ¦E¦2) where E is the solution of the nonlinear Schrodinger equation: in three dimensions it is shown that the smooth solution (Ei, ne), is defined on [0, Tmax(e)[with T max(e) going to infinity as e goes to 0].

TL;DR: Soit #7B-H un espace de Hilbert complexe separable de dimension infinie and #7b-L(#7B -H) l'algebre de tous les operateurs lineaires bornes sur #7 B-H as mentioned in this paper.

TL;DR: In this paper, the Radon-Nikodym property was shown to be necessary and sufficient to make the spaces defined by maximal functions and by conjugate Poisson kernel coincide.

TL;DR: In this paper, a sufficient condition for bifurcation of real solutions of G(λ, u) = 0 (where G: R × D → E, D ⊂ E) is given in terms of the crossing number of the eigenvalue perturbation of the linearization along the trivial solutions.

TL;DR: In this paper, the authors studied part of the discrete spectrum of L2(X) for X of Hermitian type, a notion they define in analogy with the group case.

TL;DR: In this article, it was shown that for random potentials with infinitely many bands in their spectrum such that the gaps behave well, the Lyapunov exponent asymptotically and its relation to the smoothness of the potentials are almost periodic.

TL;DR: Using the theory of Dirichlet, a distribution-valued symmetric Markov process is constructed in this paper, and several properties of this process are proved and a finite to infinite volume limit theorem is established.

TL;DR: In this paper, the Lp spectrum of a geometrically finite group acting on the hyperbolic space HN + 1 was determined for 1 ⩽ p < ∞, finding that it depends upon p in a nontrivial manner.

TL;DR: In this paper, the Witten index was discussed in terms of Krein's spectral shift function and proved invariance under suitable relative trace class hypotheses under a number of relative trace classes hypotheses.

TL;DR: On etudie le probleme de Cauchy pour des equations d'evolution lineaires as discussed by the authors, de type parabolique dans un espace de Banach X 0, on considere des resultats d'existence, d'unicite et de continuite.

TL;DR: The stochastic calculus of variations for Hilbert space-valued solutions of the Zakai equation of nonlinear filtering has been developed in this article, where a Lie algebraic criterion is presented that implies that all finite-dimensional projections of the solution define random variables which admit a density.

TL;DR: In this paper, it was shown that a universal bimodule over a von Neumann algebra is automatically normal, and this leads to a simple direct proof of Haagerup's result that a von NEUMA is amenable, or equivalently, injective, if and only if it has a normal virtual diagonal.

TL;DR: In this article, the authors consider the case L 2 (R,dx) a dimension, and demontre que: etant donne ρ>1/(2) 1/2, il y a une base {ψ i } pour L 2(R) qui satisfait (Δx) ψi ǫ <ρ and (δξ) Ϟ <ρ <ρ et ( Δξ ) Ϟ >ρ pour chaque i.

TL;DR: In this article, the authors investigated the relationship between properties of the symbol ϑ and the subnormality of the composition operator Cϑ and showed that under a regularity hypothesis, C ϑ∗ is subnormal if and only if ϑ is in a restricted class of linear fractional transformations.

TL;DR: In this article, it was shown that two continuous maps are conjugate if and only if some conjugacy algebra of one is isomorphic to some conjjugacy for the other.

TL;DR: In this article, a cohomologie cyclique du produit croise lisse de #7B-A par α is presented, where α is a chacune des semi-normes definissant the topology of #7b-A.

TL;DR: In this paper, the infinite-dimensional Ornstein-Uhlenbeck process associated with the free field of quantum field theory on Rd is reconstructed as the traces of random harmonic functions, which are the solutions of a generalised Dirichlet problem with a (random) Schwartz distribution as boundary data.