A canonical form for a class of ordinary differential operators

Benzinger, Harold E.

doi:10.1090/S0002-9939-1977-0445053-7

A canonical form for a class of ordinary differential operators
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by Harold E. Benzinger

Proc. Amer. Math. Soc. 63 (1977), 281-286

DOI: https://doi.org/10.1090/S0002-9939-1977-0445053-7

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Abstract:

A canonical form is developed for each member of a large class of nth order linear ordinary differential operators, acting on ${L^p}(0,1)$. This canonical form shows how the Fourier-like behavior of eigenfunction expansions is related to structural properties of the operators.

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Linear differential operators

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