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Nov 14, 2023 8 likes •141 views

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

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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

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

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indefinite generalizations: 6

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direct indefinite Stieltjes approach:

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indefinite Krein Feller operator of Stieltjes type:

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

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two kinds of particular functions:

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two kinds of particular functions:

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characteristic properties: gonal gonal

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characteristic properties:

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inverse result: Assumptions:

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inverse result: Theorem:

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An indefinite inverse spectral problem of Stieltjes type

direct problem: given an operator, examine its spectral properties

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

indefinite generalizations: 6

direct indefinite Stieltjes approach:

indefinite Krein Feller operator of Stieltjes type:

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

two kinds of particular functions:

two kinds of particular functions:

characteristic properties: gonal gonal

characteristic properties:

inverse result: Assumptions:

inverse result: Theorem:

inverse result: Corollary: