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Algebras with general commutation relations and their applications. I: Pseudodifferential equations with increasing coefficients - MaRDI portal

Algebras with general commutation relations and their applications. I: Pseudodifferential equations with increasing coefficients (Q1162745)

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scientific article; zbMATH DE number 3757371
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English
Algebras with general commutation relations and their applications. I: Pseudodifferential equations with increasing coefficients
scientific article; zbMATH DE number 3757371

    Statements

    Algebras with general commutation relations and their applications. I: Pseudodifferential equations with increasing coefficients (English)
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    1979
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    regular representation for commutation relations
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    linear operator as a function of a collection of simpler operators which do not commute
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    asymptotic solutions
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    ordered quantisation
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    existence of a right quasi inverse
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    Lie algebras
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    graded Lie algebras
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    nonlinear commutation relations
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    symbols of the regular representation
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    pseudo-differential equation
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    Hamiltonian operator
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    asymptotics of the Cauchy problem
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    semiclassical approximation
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