On the spectra of non-selfadjoint differential operators and their adjoints in direct sum spaces (Q1864294)

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scientific article; zbMATH DE number 1883687
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On the spectra of non-selfadjoint differential operators and their adjoints in direct sum spaces
scientific article; zbMATH DE number 1883687

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    On the spectra of non-selfadjoint differential operators and their adjoints in direct sum spaces (English)
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    17 March 2003
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    Summary: The general ordinary quasidifferential expression \(M_p\) of \(n\)th order, with complex coefficients and its formal adjoint \(M_p^+\) on any finite number of intervals \(I_{p}=(a_p,b_p)\), \(p=1,\dots N\), are considered in the setting of the direct sums of \(L_{w_p}^{2}(a_p,b_p)\)-spaces of functions defined on each of the separate intervals. And a number of results concerning the location of the point spectra and regularity fields of general differential operators generated by such expressions are obtained.
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    general ordinary quasidifferential expression
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    complex coefficients
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    point spectra
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    regularity fields of general differential operators
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