SPECTRAL SYNTHESIS FOR AN OPERATOR GENERATED BY MULTIPLICATION BY A POWER OF THE INDEPENDENT VARIABLE

DOI10.1070/SM1992V073N01ABEH002542zbMath0782.47025OpenAlexW2036913068MaRDI QIDQ3980675

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Publication date: 26 June 1992

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1992v073n01abeh002542

zbMATH Keywords

spectrumspectral synthesisconvolution operatorshomogeneous convolution equationspaces of entire functionsconjugate operatordescription of root vectorsexistence of abundant submodulesstrong conjugates to multiplication operators

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

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General elementary solution of a 𝑞-sided convolution type homogeneous equation ⋮ On continuous endomorphisms of entire functions

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