Results 31 to 40 of about 873 (53)
On the point spectrum of some perturbed differential operators with periodic coefficients [PDF]
, 2007 Finiteness of the point spectrum of linear operators acting in a Banach space is investigated from point of view of perturbation theory. In the first part of the paper we present an abstract result based on analytical continuation of the resolvent ...
Cialenco, Igor
core +1 more source
On eigenfunction approximations for typical non-self-adjoint Schroedinger operators
, 1999 We construct efficient approximations for the eigenfunctions of non-self-adjoint Schroedinger operators in one dimension. The same ideas also apply to the study of resonances of self-adjoint Schroedinger operators which have dilation analytic potentials.
A. Aslanyan +3 more
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A dispersion analysis of perturbed p-Laplacians [PDF]
arXiv, 2010 Sorry, There are some mistakes in proofs.
arxiv
A new approach to spectral approximation [PDF]
arXiv, 2014 A new technique for approximating eigenvalues and eigenvectors of a self-adjoint operator is presented. The method does not incur spectral pollution, uses trial spaces from the form domain, has a self-adjoint algorithm, and exhibits superconvergence.
arxiv
One particle subspaces for two particle quantum walks with ultralocal interaction [PDF]
Structure of Mathematical Physics, 2018, Vol. 1, No. 1, pp. 61-82, 2018 We study one particle subspaces for two particles of different masses with ultra local interaction on a lattice of arbitrary dimension.
arxiv
One-dimensional quantum walks with a general perturbation of the radius 1 [PDF]
Structure of Mathematical Physics, 2018, Vo1.1, No. 1, pp. 83-98, 2018 We give a complete description of the discrete spectrum of one-dimensional Hamiltonian with a general perturbation of the radius $1$.
arxiv
Trace class Toeplitz operators with singular symbols [PDF]
arXiv, 2019 We characterize the trace class membership of Toeplitz operators with distributional symbols acting on the Bergman space on the unit disk. The Berezin transform of distributions, introduced in the paper, yields a formula for the trace. Several instructive examples are also given.
arxiv
On the Gauss map of quadric surfaces
, 2019 In this paper, we study quadric surfaces in the 3-dimensional Euclidean space whose Gauss map n is of coordinate finite I-type, i.e., the position vector n satisfies the relation {\Delta}In = {\Lambda}n, where {\Delta}I is the Laplace operator with ...
Al-Zoubi, Hassan
core
A class of pseudo-differential operators with oscillating symbols [PDF]
arXiv, 1998 We study a class of pseudo-differential operators with oscillating symbols or osc illating amplitudes appearing in the long-range scattering theory. We develop the basic calc ulus for operators from such classes and solve some concrete problems posed by applications to scattering theory, especially to the scattering matrix. In particular, we show tha t
arxiv
A review of Hardy inequalities [PDF]
arXiv, 1998 We review the literature concerning the Hardy inequality for regions in Euclidean space and in manifolds, concentrating on the best constants. We also give applications of these inequalities to boundary decay and spectral approximation.
arxiv