Corpus ID: 226289861

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

  title={Singular Sturm-Liouville Problems with Zero Potential (q=0) and Singular Slow Feature Analysis},
  author={Stefan Richthofer and Laurenz Wiskott},
  • 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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