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- Spectral_theory_of_ordinary_differential_equations abstract "In mathematics, the spectral theory of ordinary differential equations is the part of spectral theory concerned with the determination of the spectrum and eigenfunction expansion associated with a linear ordinary differential equation. In his dissertation Hermann Weyl generalized the classical Sturm–Liouville theory on a finite closed interval to second order differential operators with singularities at the endpoints of the interval, possibly semi-infinite or infinite. Unlike the classical case, the spectrum may no longer consist of just a countable set of eigenvalues, but may also contain a continuous part. In this case the eigenfunction expansion involves an integral over the continuous part with respect to a spectral measure, given by the Titchmarsh–Kodaira formula. The theory was put in its final simplified form for singular differential equations of even degree by Kodaira and others, using von Neumann's spectral theorem. It has had important applications in quantum mechanics, operator theory and harmonic analysis on semisimple Lie groups.".
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- Spectral_theory_of_ordinary_differential_equations subject Category:Operator_theory.
- Spectral_theory_of_ordinary_differential_equations subject Category:Ordinary_differential_equations.
- Spectral_theory_of_ordinary_differential_equations subject Category:Spectral_theory.
- Spectral_theory_of_ordinary_differential_equations type Abstraction100002137.
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- Spectral_theory_of_ordinary_differential_equations type DifferentialEquation106670521.
- Spectral_theory_of_ordinary_differential_equations type Equation106669864.
- Spectral_theory_of_ordinary_differential_equations type MathematicalStatement106732169.
- Spectral_theory_of_ordinary_differential_equations type Message106598915.
- Spectral_theory_of_ordinary_differential_equations type OrdinaryDifferentialEquations.
- Spectral_theory_of_ordinary_differential_equations type Statement106722453.
- Spectral_theory_of_ordinary_differential_equations comment "In mathematics, the spectral theory of ordinary differential equations is the part of spectral theory concerned with the determination of the spectrum and eigenfunction expansion associated with a linear ordinary differential equation. In his dissertation Hermann Weyl generalized the classical Sturm–Liouville theory on a finite closed interval to second order differential operators with singularities at the endpoints of the interval, possibly semi-infinite or infinite.".
- Spectral_theory_of_ordinary_differential_equations label "Spectral theory of ordinary differential equations".
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- Spectral_theory_of_ordinary_differential_equations sameAs Q7575215.
- Spectral_theory_of_ordinary_differential_equations sameAs Q7575215.
- Spectral_theory_of_ordinary_differential_equations sameAs Spectral_theory_of_ordinary_differential_equations.
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- Spectral_theory_of_ordinary_differential_equations isPrimaryTopicOf Spectral_theory_of_ordinary_differential_equations.