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Mathematics PhysicsEach of a set of independent functions which are the solutions to a given differential equation.

*‘In this thesis he studied the representation of arbitrary functions by the eigenfunctions of partial differential equations and other given sets of functions.’**‘Within the next three years Stone published 10 more papers on various aspects of the theory of orthogonal expansions, especially expansions in terms of eigenfunctions of linear differential equations.’**‘From 1939 Titchmarsh concentrated on the theory of series expansions of eigenfunctions of differential equations, work which helped to resolve problems in quantum mechanics.’**‘In these papers a special role is played by expansions in terms of the eigenfunctions of linear differential operators.’**‘In those cases, we see two eigenfunctions with approximately the same statistical wavelength and usually with similar eigenvalues and relative spectral power.’*

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