Showing papers in "Journal of Functional Analysis in 1994"

TL;DR: In this article, a class of semilinear elliptic Dirichlet boundary value problems where the combined effects of a sublinear and a superlinear term allow us to establish some existence and multiplicity results is considered.

TL;DR: In this paper, it was shown that the generalized coherent state transform (GST) is an isometric isomorphism of L 2 (K ) onto a certain L 2 -space of holomorphic functions on G.

TL;DR: In this paper, a metric topology on the space of Dirichlet forms is introduced and compactness and closure properties of families of local and non-local forms are studied.

TL;DR: In this article, the authors studied C *-algebras possessing an action of the circle group, from the point of view of their internal structure and their K-theory.

TL;DR: In this article, the derivatives of solutions of diffusion equations are derived, which clearly exhibit, and allow estimation of, the equations' smoothing properties, extending and giving a very elementary proof of Bismut's well known formula.

TL;DR: In this article, the trace ideal of self-adjoint projections with P − Q ∈ J_(2n + 1) was studied and it was shown that for m ≥ n, tr(P − Q)^(2m + 1)/(2n+ 1) = dim (Ker Q ∩ Ran P) − dim(Ker P ∈ Ran Q) is an integer, if and only if this integer is 0.

TL;DR: An affine invariant curve evolution process is presented in this paper, where the evolution is the affine analogue of the Euclidean Curve Shortening flow, and the evolution equations, for both affine and geometric invariants, are developed.

TL;DR: In this article, the existence with probability one of an interval of pure point spectrum for some families of continuous random Schrodinger operators in d-dimensions was proved. But the existence of the interval was not proved for all families of random Schroffinger operators.

TL;DR: In this paper, the authors present constructions which induce topologies on subsets of a fixed domain or hold-all D in RN by using set parameterized functions in an appropriate function space.

TL;DR: In this article, the authors prove the exponential integrability of Lipschitz functions in abstract Wiener spaces by using logarithmic Sobolev inequalities, and give several conditions under which the function is exponentially integrable.

TL;DR: In this paper, the existence theorem for an abstract nonlinear stochastic evolution equation in a Hilbert space was proved for the Navier-Stokes equation in any dimension with a nonlinear noise term.

TL;DR: In this article, the authors studied the asymptotic behavior of the amount of heat in a Riemannian manifold with a smooth C ∞ boundary ∂ M.

TL;DR: In this article, the Banach space isometries of triangular subalgebras of C*-algesas that contain diagonals in the sense of Kumjian are studied.

TL;DR: In this article, the Galerkin method is applied to discretized Hamiltonians of one-dimensional quantum systems with arbitrary continuous potentials, where the spectrum of A is recovered from the sequence of eigenvalues of the n × n compressions.

TL;DR: Fannes and Nachtergaele as discussed by the authorsernández et al. proposed a class of states on one-dimensional quantum spin systems called "finitely correlated" states, which can be constructed quite explicitly, which is remarkable, since apart from quasi-free states or convex combinations of product states, there seem to be no states allowing a similarly complete control.

TL;DR: In this paper, a fusion of variational and fixed point techniques was used to obtain strong analogues of the classical DAD problem, and their extensions appear inaccessible by either technique separately.

TL;DR: In this article, the authors prove existence and uniqueness of the solution of a white noise driven parabolic SPDE, in case the drift is measurable and satisfies a "one sided linear growth condition," and the diffusion coefficient is non-degenerate, has a locally Lipschitz derivative, and satisfies linear growth conditions.

TL;DR: In this paper, a class of Riesz's transforms naturally associated with LB is studied and it is shown that these transformations are bounded in the spaces LpγBn(Rn), p > 1, with a constant independent of the dimension an depending only on p and the number of different eigenvalues of the matrix B.

TL;DR: In this article, it was shown that wavelet expansions of Lp functions (1 ≤ p ≤ ∞) converge pointwise almost everywhere, and more precisely everywhere on the Lebesgue set of the function being expanded.

TL;DR: In this paper, the authors considered the problem of counting the number of translates of a base point z by a Fuchsian group Γ, which lie in a geodesic ball of radius s about z.

TL;DR: In this article, the authors compare two long-range perturbations of constant coefficient operators on Rn such that their difference is short range, i.e., the Schrodinger Hamiltonians and the Laplace-Beltrami operator.

TL;DR: In this article, the existence of nodal solutions for the equation Δu + a (x ) u = f ( x ) | u | 4/(n − 2) u on Ω, u = 0 on ∂ Ω was studied.

TL;DR: In this article, the authors generalize the Harish-Chandra inversion formula for the spherical transform on a Riemannian symmetric space to homogeneous line bundles on a Hermitian space.

TL;DR: In this paper, it was proved that the projection constants of two-and three-dimensional spaces are bounded by 43 and (1 + √ 5)/2, respectively, by the spaces whose unit balls are the regular hexagon and dodecahedron.

TL;DR: In this article, a bivariant homology theory for separable C*-algebras is defined, where the elements of E(A, B) are taken to be homotopy classes of asymptotic morphisms from SA ⊗ K to SB ⊆ K. In this case, there is no distinction between ∗-homomorphisms and morphisms so they have succeeded in classifying all ∗ homomorphisms from a dimension-drop interval to a stable C *-algebra.

TL;DR: Li and Yau as mentioned in this paper gave bounds for the eigenvalues of the Laplacian on a bounded domain in Euclidean space under Dirichlet and Neumann boundary conditions.

TL;DR: In this paper, the authors established sufficient conditions for K to be-respectively, not to be the scalar curvature of some complete metric u4/(m − 2)gH pointwise conformal to gH.

TL;DR: In this paper, the Toeplitz operators with symbol in a C *-algebra A carrying an action α of R are shown to be Fredholm elements of an appropriate von Neumann algebra, and a formula for their Breuer index in terms of τ and the infinitesimal generator of the one-parameter automorphism group α.

TL;DR: In this article, lower bounds on the number of scattering poles for a class of abstract compactly supported perturbations of the Laplacian in R n, n odd were obtained.

TL;DR: In this article, it was shown that the n-Cech cohomology groups of the H∞ maximal ideal space (X(H∞)) are trivial for n ≥ 2, and that single elements of H ∞ separate points from closed sets in X(H ∞).