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Some Properties of Eigenfunctions
SIAM Journal on Applied Mathematics, 1975The purpose of this paper is to find simple relations between properties of eigenfunctions $y( x )$ and the density function $p( x )$ of the system $y'' + \lambda p( x )y = 0,y( { \pm 1} ) = 0$.
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Factorization Ladders and Eigenfunctions
Canadian Journal of Mathematics, 1949The eigenfunctions of a boundary value problem are characterized by two quite distinct properties. They are solutions of ordinary differential equations, and they satisfy prescribed boundary conditions. It is a definite advantage to combine these two requirements into a single problem expressed by a unified formula.
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Eigenfunctions of the Laplacian on a Riemannian manifold
, 2017S. Zelditch
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Weak eigenfunctions of two-interval Sturm-Liouville problems together with interaction conditions
, 2017H. Olğar, O. Mukhtarov
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Refined and Microlocal Kakeya–Nikodym Bounds of Eigenfunctions in Higher Dimensions
, 2017Matthew D. Blair, C. Sogge
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Generating Spectrum‐Compatible Time Histories Using Eigenfunctions
, 2017Bo Li, Binh‐Le Ly, W. Xie, M. Pandey
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