Results 301 to 310 of about 112,078 (333)

On Eigenfunction Expansion of Solutions to the Hamilton Equations

, 2013
We establish a spectral representation for solutions to linear Hamilton equations with positive definite energy in a Hilbert space. Our approach is a special version of M.
A. Komech, E. Kopylova
semanticscholar   +1 more source

Variation partitioning involving orthogonal spatial eigenfunction submodels.

Ecology, 2012
When partitioning the variation of univariate or multivariate ecological data with respect to several submodels of spatial eigenfunctions (e.g., Moran's eigenvector maps, MEM) acting as explanatory data, a problem occurs: although the submodels are ...
P. Legendre, D. Borcard, D. Roberts
semanticscholar   +1 more source

On Singularities in Eigenfunctions

The Journal of Chemical Physics, 1965
The relationship between some singularities of the eigenfunction and convergence of the Legendre expansion is studied for the ground state of the helium atom.
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The biorthogonal eigenfunction system of linear stability equations: A survey of applications to receptivity problems and to analysis of experimental and computational results

, 2011
The concept of a biorthogonal eigenfunction system (BES) of linear stability equations has been utilized for receptivity problems in boundary layers, wall jets, pipe ow, and detonations.
A. Tumin
semanticscholar   +1 more source

Embedding of eigenfunctions of the Johnson graph into eigenfunctions of the Hamming graph

Journal of Applied and Industrial Mathematics, 2014
Under study is the relationship between the eigenfunctions of the Johnson and Hamming graphs. An eigenfunction of a graph is an eigenvector of its adjacency matrix with some eigenvalue; moreover, an eigenfunction can be identically zero. We find a criterion for the embeddability of an eigenfunction of the Johnson graph J(n, w) with a given eigenvalue ...
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Eigenfunction Expansions*

1992
Publisher Summary This chapter describes the eigenfunction expansions applicable to linear differential equations with linear boundary conditions. Any “well-behaved” function can be expanded in a complete set of eigenfunctions. In the method discussed in the chapter, the dependent variable in a differential equation is expanded as a sum of the ...
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Eigenvalues and Eigenfunctions [PDF]

, 2011
The results obtained in Chapters 2–5 can be used in the computation of eigenvalues of filters, which are given by translation-invariant linear operators. To recall, let A :\( L^2(\mathbb{Z}_{N})\rightarrow L^2(\mathbb{Z}_{N})\) be a filters, i.e., a translation-invariant linear operator.
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Separatrix eigenfunctions

Physical Review A, 1992
, Cary, , Rusu
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Correspondence - Apodization and windowing eigenfunctions

IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 2014
Across a range of spectral estimation problems and beam focusing problems, it is necessary to constrain the properties of a function and its Fourier transform. In many cases, compact functions in both domains are desired, within the theoretical bounds of the uncertainty principle.
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ON EXPANSIONS IN EIGENFUNCTIONS (VIII) [PDF]

The Quarterly Journal of Mathematics, 1940
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