A necessary condition for the completeness of the system \(\{e^{-\lambda_n t}\mid\operatorname{Re}\lambda_n > 0\}\) in the spaces \(C _{0}(\mathbb R_{+})\) and \(L^p (\mathbb R_{+})\), \(p > 2\)
DOI10.1134/S0001434608050222zbMath1170.46014OpenAlexW127118850MaRDI QIDQ2518038
Publication date: 12 January 2009
Published in: Mathematical Notes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0001434608050222
analytic functionBernstein's inequalitysequence of exponentialsHardy class of functionsSzász conditionthe spaces \(C_0 (\mathbb R_{+})\) and \(L^{p}(\mathbb R_{+})\)
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)
Cites Work
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