On the Eigenvalues of Certain Canonical Higher-Order Ordinary Differential Operators
Albrecht Boettcher, Harold Widom
Abstract
We consider the operator of taking the 2pth derivative of a function with zero boundary conditions for the function and its first p-1 derivatives at two distinct points. Our main result provides an asymptotic formula for the eigenvalues and resolves a question on the appearance of certain regular numbers in the eigenvalue sequences for p=1 and p=3.
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