On principle symbols bundle of anisotropic pseudodifferential operator (Q2719447)

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scientific article; zbMATH DE number 1609691
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On principle symbols bundle of anisotropic pseudodifferential operator
scientific article; zbMATH DE number 1609691

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    25 June 2001
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    anisotropic pseudodifferential operator
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    principle bundle of symbols
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    phase function
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    polynomial coefficients
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    On principle symbols bundle of anisotropic pseudodifferential operator (English)
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    This paper sets out a derivation of the anisotropic version of the formula of pseudodifferential operator acting on the exponent and description of all its main terms via the principle bundle of symbols. The anisotropy specific features are displayed in the fact that the phase function is a polynomial with respect to the large parameter. The polynomial coefficients are determined via the principle bundle of symbols.
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