Results 101 to 110 of about 6,739 (179)

On the eigenfunction expansions associated with the Schrodinger operator

, 2012
The paper devoted to investigation of the behavior near the boundary of eigenfunction expansions associated with Schrodinger ...
Rakhimov, Abdumalik A.
core  

Exponential decay of two-body eigenfunctions: A review

Electronic Journal of Differential Equations, 2000
We review various results on the exponential decay of the eigenfunctions of two-body Schrödinger operators. The exponential, isotropic bound results of Slaggie and Wichmann for eigenfunctions of Schrödinger operators corresponding to eigenvalues below ...
Peter Hislop
doaj  

Optimal Recovery of Rayleigh‐Wave Overtones by Multi‐Directional Acquisition

Geophysical Research Letters
Rayleigh waves are ubiquitously used for subsurface characterization through dispersion curve inversion, whose quality depends on the number of useable overtones.
A. Lellouch, E. Shimony, P. Sinitsyn
doaj   +1 more source

Numerical solution of the multi-order fractional differential equation using Legendre wavelets and eigenfunction approach

Partial Differential Equations in Applied Mathematics
An eigenfunction approach is implemented in this article to solve the multi-order fractional differential equations (FDEs) with boundary conditions. The approximate unknown solution is expressed as a linear combination of eigenfunctions in the present ...
Shivani Ranta, Sandipan Gupta, Dileep Kumar Sharma   +2 more
doaj   +1 more source

On the localization Eigenfunction expansions associated with the Schrodinger Operator

, 2013
In this paper we study eigenfunction expansions associated with the Schrodinger operator with a singular potential. In the paper it is obtained sufficient conditions for localization and uniformly convergence of the regularizations of the corresponding
Rakhimov, Abdumalik
core   +1 more source

On the behaviour of eigenfunction expansions in the complex domain

, 1986
SynopsisBy using asymptotic estimates for the eigenvalues and eigenfunctions or irregular boundary value problems, we state necessary conditions for the pointwise convergence and for the divergence of the corresponding eigenfunction expansions.
Gerhard Freiling
core   +1 more source

ON MAUTNER'S EIGENFUNCTION EXPANSION [PDF]

Proceedings of the National Academy of Sciences, 1956
Bade, William G., Schwartz, Jacob T.
openaire   +3 more sources

L^p eigenfunction bounds for the Hermite operator [PDF]

, 2004
We obtain L^p eigenfunction bounds for the harmonic oscillator in R^n and for other related operators, improving earlier results of Thangavelu and Karadzhov.
Koch, Herbert, Tataru, Daniel
core   +1 more source

Complex Eigenfunction Method for Bending Analysis of Rectangular Plates

, 2015
The present article will give a Fadle eigenfunction analysis of rectangular plates in flexure by means of complex matrix algebra. Rectangular plates have many structural applications, and their flexural analysis is thus of considerable importance.
ISHIKAWA, Kiyoshi, TANIMOTO, Bennosuke, NATSUME, Shotaro   +2 more
core  

On Eigenfunction Expansions [PDF]

Proceedings of the National Academy of Sciences, 1953
openaire   +4 more sources