A simplified proof of the Daniell integral extension theorem in ordered spaces
A single scale infinite volume expansion for three dimensional many Fermion Green's functions.
A singular functional-differential equation.
A singular Gierer—Meinhardt system of elliptic equations
A singular perturbation problem in integrodifferential equations.
A singular spectral identity and inequality involving the Dirichlet integral of an ordinary differential expression
A smooth subadditive homogeneous norm on a homogeneous group
A SOR Acceleration of Self-Adjoint and m-Accretive Splitting Iterative Solver for 2-D Neutron Transport Equation
We present an iterative method based on an infinite dimensional adaptation of the successive overrelaxation (SOR) algorithm for solving the 2-D neutron transport equation. In a wide range of application, the neutron transport operator admits a Self-Adjoint and m-Accretive Splitting (SAS). This splitting leads to an ADI-like iterative method which converges unconditionally and is equivalent to a fixed point problem where the operator is a 2 by 2 matrix...
A space by W. Gowers and new results on norm and numerical radius attaining operators
A spectral approach to the Kaplansky problem
A Spectral Gap Theorem for Dirac Operators with Central Field.
A spectral mapping theorem for Banach modules
Let G be a locally compact abelian group, M(G) the convolution measure algebra, and X a Banach M(G)-module under the module multiplication μ ∘ x, μ ∈ M(G), x ∈ X. We show that if X is an essential L¹(G)-module, then for each measure μ in reg(M(G)), where denotes the operator in B(X) defined by , σ(·) the usual spectrum in B(X), sp(X) the hull in L¹(G) of the ideal , μ̂ the Fourier-Stieltjes transform of μ, and reg(M(G)) the largest closed regular subalgebra of M(G); reg(M(G)) contains all...
A spectral mapping theorem for evolution semigroups on asymptotically almost periodic functions defined on the half line.
A spectral mapping theorem for functions with finite Dirichlet integral.
A Spectral Mapping Theorem for Holomorphic Functions.
A Spectral Mapping Theorem for Local Multipliers.
A spectral mapping theorem for perturbed strongly continuous semigroups.
A spectral mapping theorem for semigroups solving PDEs with nonautonomous past.
A spectral perturbation problem and its applications to waves above an underwater ridge.
A spectral study of an infinite axisymmetric elastic layer
We present here a theoretical study of eigenmodes in axisymmetric elastic layers. The mathematical modelling allows us to bring this problem to a spectral study of a sequence of unbounded self-adjoint operators , , in a suitable Hilbert space. We show that the essential spectrum of is an interval of type and that, under certain conditions on the coefficients of the medium, the discrete spectrum is non empty.