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29 March 2024
 
  » arxiv » math.FA/0501116

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On the Eigenvalues of Certain Canonical Higher-Order Ordinary Differential Operators
Albrecht Boettcher ; Harold Widom ;
Date 9 Dec 2004
Subject Functional Analysis; Classical Analysis and ODEs MSC-class: Primary 34L15, Secondary 15A15, 41A80, 47B15 | math.FA math.CA
AbstractWe consider the operator of taking the $2p$th 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 $p=3$.
Source arXiv, math.FA/0501116
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