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Some Properties of Eigenfunctions

SIAM Journal on Applied Mathematics, 1975
The 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, 1949
The 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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SOME EIGENFUNCTION FORMULAE

The Quarterly Journal of Mathematics, 1950
Sears, D. B., Titchmarsh, E. C.
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On the geometric structures of transmission eigenfunctions with a conductive boundary condition and applications

Communications in Partial Differential Equations, 2021
Huai-An Diao, Hongyu Liu
exaly  

Existence and uniqueness of global Koopman eigenfunctions for stable fixed points and periodic orbits

Physica D: Nonlinear Phenomena, 2021
Matthew D Kvalheim, Shai Revzen
exaly  

Learning Koopman Eigenfunctions and Invariant Subspaces From Data: Symmetric Subspace Decomposition

IEEE Transactions on Automatic Control, 2022
Masih Haseli, Jorge Cortes
exaly  

Optimal Construction of Koopman Eigenfunctions for Prediction and Control

IEEE Transactions on Automatic Control, 2020
Milan Korda, Igor Mezic
exaly  

EIGENFUNCTIONS

A-to-Z Guide to Thermodynamics, Heat and Mass Transfer, and Fluids Engineering, 2006
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