On the completeness of certain sets of functions in L2(0,∞)
On the completeness of certain sets of functions in \(L^ 2(0,\infty)\)
Authors: Davidson, E. R.; Katriel, J.;
On the completeness of certain sets of functions in L2(0,∞)
Abstract
The set of \(L^ 2(0,\infty)\) functions \(\{\exp (-\zeta r^{\beta})r^{\gamma (n+\alpha)}\); \(n=0,1,...\}\), which is known to be complete for \(\beta =1\), \(\gamma =2\), is shown to be incomplete for all \(0<2\beta <\gamma\) and complete for all \(0<\gamma \leq 2\beta\).
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Keywords
Completeness of sets of functions in nontrigonometric harmonic analysis
Completeness of sets of functions in nontrigonometric harmonic analysis
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This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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