eigenfunction expansion

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eigenfunction expansion [′ī·gən‚fəŋk·shən ik′span·chən]

(mathematics)

By using spectral theory for linear operators defined on spaces composed of functions, in certain cases the operator equals an integral or series involving its eigenvectors; this is known as its eigenfunction expansion and is particularly useful in studying linear partial differential equations.

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No references found			Following a review of analytic function theory, they discuss special functions, eigenvalue problems and eigenfunction expansions, Green's functions for boundary-value problems, Laplace transform methods, Fourier transform methods, particular physical problems, and asymptotic expansion of integrals. Partial differential equations in fluid dynamics by SciTech Book News Titchmarsh, Eigenfunction Expansions Associated with Second-Order Differential Equations, Part II, Clarendon Press, Oxford, 1958. Series expansion for functions bandlimited to a ball by Campbell, L. Lorne / Sampling Theory in Signal and Image Processing Keywords: Time scale, delta and nabla derivatives and integrals, Green's function, completely continuous operator, eigenfunction expansion. Eigenfunction expansions for a Sturm-Liouville problem on time scales by Guseinov, Gusein Sh. / International Journal of Difference Equations			Eiders eidetic imagery Eidetic Memory Eidinov, Grigorii Eidinov, Grigorii Borisovich Eidlin, Lev Eidlin, Lev Zalmanovich Eidlitz, Leopold Eidos Eidsvoll Eidsvoll Constitution of 1814 Eidukevicius, Pranas Eielsen, Elling Eifel Eifelian Stage Eiffel Eiffel source checker Eiffel Tower Eiffel, Alexander Gustave Eiffel, Alexandre Gustave EIFS Eigen Eigen, Manfred eigenfrequency Eigenfunction eigenfunction expansion Eigenmann, Carl H. eigenmatrix eigenstate Eigenvalue eigenvalue equation eigenvalue problem Eigenvector Eiger eight eight curve eight queens problem eight queens puzzle Eight, The eight-bit clean Eight-Hour Day eight-level code Eight-Year School eighteen eighteen schools Eighteenth All-Union Conference of the All-Union Communist Party Eighteenth Brumaire Eighteenth Brumaire of Louis Bonaparte Eighteenth Congress of the CPSU Bolshevik eightfold Eightfold Path			Eifs Eifs EIFSA EIFU EIFW EIG Eiga EIGC EIGCA EIGE Eigen Eigen Eigen Eigen cation Eigen cation Eigen function Eigen function Eigen kapitaal Eigen Values Eigen Wijze Duik Reizen Eigen, Manfred Eigen, Manfred Eigenbeamforming Eigendomsrecht eigenfrequencies eigenfrequencies Eigenfrequency Eigenfrequency Eigenfunction Eigenfunction eigenfunction expansion Eigenfunctions Eigenfunctions Eigenhändige Unterschrift Eigenkapital Eigenkapitalrendite Eigenmächtig Abwesend Eigenmann, Carl H. eigenmatrix Eigenmode Eigenmode Eigenmode Expansion Method eigenstate Eigenstates Eigensystem Realization Algorithm Eigentijds Vlaams Wijninstituut eigentone Eigentumsurkunde Eigentumswohnung Eigenvalue Eigenvalue Eigenvalue Eigenvalue decomposition eigenvalue equation eigenvalue of a matrix eigenvalue of a square matrix Eigenvalue Problem Eigenvalue Problem Eigenvalue, eigenvector and eigenspace Eigenvalue, eigenvector and eigenspace Eigenvalue, eigenvector and eigenspace

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