Corpus ID: 226289861

Singular Sturm-Liouville Problems with Zero Potential (q=0) and Singular Slow Feature Analysis

@article{Richthofer2020SingularSP,
  title={Singular Sturm-Liouville Problems with Zero Potential (q=0) and Singular Slow Feature Analysis},
  author={Stefan Richthofer and Laurenz Wiskott},
  journal={ArXiv},
  year={2020},
  volume={abs/2011.04765}
}

Stefan Richthofer, Laurenz Wiskott

Published 2020

Computer Science, Mathematics

ArXiv

A Sturm-Liouville problem ($\lambda wy=(ry')'+qy$) is singular if its domain is unbounded or if $r$ or $w$ vanish at the boundary. Then it is difficult to tell whether profound results from regular Sturm-Liouville theory apply. Existing criteria are often difficult to apply, e.g. because they are formulated in terms of the solution function. We study the special case that the potential $q$ is zero under Neumann boundary conditions and give simple and explicit criteria, solely in terms of the… CONTINUE READING

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