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Spectral theory of functions in studying partial differential operators

Спектральная теория функций в исследовании дифференциальных операторов с частными производными

2019
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Ufimskii Matematicheskii Zhurnal
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Спектральная теория функций в исследовании дифференциальных операторов с частными производными

The work is devoted to studying the spectral properties of differential operators with constant coefficients defined on subspaces of bounded continuous functions. Our main methods are spectral theory of Banach modules, theory of functions, abstract harmonic analysis and theory of representations, which were developed and described in detail in the monograph by A. G. Baskakov "Harmonic Analysis in Banach Modules and the Spectral Theory of Linear Operators", Voronezh, VSU Publ., 2016. We

doi:10.13108/2019-11-1-3
fatcat:i6b6h5c42nfl7iuqwnarwwajra