Results 71 to 80 of about 4,785 (188)

Symmetric polynomials: DIM integrable systems versus twisted Cherednik systems

open access: yesPhysics Letters B
We discuss interrelations between eigenfunctions of the Hamiltonians associated with the commutative (integer ray) subalgebras of the Ding-Iohara-Miki algebra and those of the twisted Cherednik system.
A. Mironov, A. Morozov, A. Popolitov
doaj   +1 more source

Chaotic Eigenfunctions in Phase Space

open access: yesJournal of Statistical Physics, 1998
61 pages, LaTeX, plus 20 eps figures, two of them in color.
Nonnenmacher, S., Voros, A.
openaire   +3 more sources

Eigenfunction expansions in ℝⁿ

open access: yesProceedings of the American Mathematical Society, 2011
The main goal of this paper is to extend in R n \mathbb {R}^n
GRAMTCHEV, TODOR VASSILEV   +2 more
openaire   +3 more sources

An Observation on Eigenfunctions of the Laplacian

open access: yesLa Matematica
In his seminal 1943 paper F. Rellich proved that, in the complement of a cavity $Ω= \{x\in \mathbb R^n\mid |x|>R_0\}$, there exist no nontrivial solution $f$ of the Helmholtz equation $Δf = - λf$, when $λ>0$, such that $\int_Ω |f|^2 dx < \infty$.
Banerjee, Agnid, Garofalo, Nicola
openaire   +3 more sources

NUMERICAL METHODS FOR DISCONTINUOUS STURM-LIOUVILLE PROBLEMS

open access: yesJournal of New Theory, 2015
− This study is devoted to determining the eigenvalues and eigenfunctions of a discontinuous Sturm-Liouville Problem. By modifying the finite difference method, we have developed anumerical approximation to the eigenvalues and ...
Zulfigar Akdogan, Savas Kunduracı
doaj  

The nonlocal problem for the $2n$ differential equations with unbounded operator coefficients and the involution

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2018
We study a problem with periodic boundary conditions for a $2n$-order differential equation whose coefficients are non-self-adjoint operators. It is established that the operator of the problem has two invariant subspaces generated by the involution ...
Ya.O. Baranetskij   +3 more
doaj   +1 more source

About the spectral problem arising from robotic manipulator mechanics

open access: yesМоделирование и анализ информационных систем, 2009
A spectral boundary problem of special type containing a spectral parameter in the boundary condition is completely solved in this paper. The characteristic equation for spectrum points determination is obtained, the energy innerproduct is derived, and ...
V. I. Voytitsky   +2 more
doaj  

Biorthogonality condition for axisymmetric stokes flow in spherical geometries

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2000
We derive the biorthogonality condition for axisymmetric Stokes flow in a region between two concentric spheres. This biorthogonality condition is a property satisfied by the eigenfunctions and adjoint eigenfunctions, which is needed to compute the ...
S. A. Khuri
doaj   +1 more source

Singular Eigenfunctions of Calogero-Sutherland Type Systems and How to Transform Them into Regular Ones

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2007
There exists a large class of quantum many-body systems of Calogero-Sutherland type where all particles can have different masses and coupling constants and which nevertheless are such that one can construct a complete (in a certain sense) set of exact ...
Edwin Langmann
doaj  

ON MAUTNER'S EIGENFUNCTION EXPANSION [PDF]

open access: yesProceedings of the National Academy of Sciences, 1956
Bade, William G., Schwartz, Jacob T.
openaire   +3 more sources

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