How to make nontrivial the spectrum of a translation invariant space of smooth functions

DOI10.1006/JMAA.1995.1459zbMath0852.46025OpenAlexW2038569853MaRDI QIDQ1910111

Antoni Wawrzyńczyk

Publication date: 19 May 1996

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1995.1459

zbMATH Keywords

convolution operatorjoint spectrumtranslation invariantspace of smooth functionsconvolution operationglobal resolvent

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Integral transforms in distribution spaces (46F12) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Spectrum, resolvent (47A10) Linear operators on function spaces (general) (47B38) Topological linear spaces of continuous, differentiable or analytic functions (46E10)

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