About: Spectral theory of ordinary differential equations

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Part of spectral theory

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  • part of spectral theory (en)
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  • For every real number let be defined by the Titchmarsh–Kodaira formula: Then is a lower semicontinuous non-decreasing function of and if then defines a unitary transformation of onto such that corresponds to multiplication by . The inverse transformation is given by The spectrum of equals the support of . (en)
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  • Theorem. (en)
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  • Spectral theory of ordinary differential equations (en)
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