an indefinite inverse spectral problem of stieltjes type
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An indefinite inverse spectral problem of Stieltjes type Andreas Fleige, OTIND 2016 (joint work with Henrik Winkler) direct problem: given an operator, examine its spectral properties inverse problem: given some spectral properties, reconstruct

  1. An indefinite inverse spectral problem of Stieltjes type Andreas Fleige, OTIND 2016 (joint work with Henrik Winkler) direct problem: given an operator, examine its spectral properties

  2. inverse problem: given some spectral properties, reconstruct an associated operator

  3. indefinite generalizations: 6

  4. direct indefinite Stieltjes approach:

  5. indefinite Krein Feller operator of Stieltjes type:

  6. results according to [Fl., 1996]: Remark:

  7. two kinds of particular functions:

  8. two kinds of particular functions:

  9. characteristic properties: gonal gonal

  10. characteristic properties:

  11. inverse result: Assumptions:

  12. inverse result: Theorem:

  13. inverse result: Corollary:

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