NMR measurements were performed on single-crystalline samples of the one-dimensional Heisenberg antiferromagnet (1D HAF)
LiCuVO4. We investigated
7Li and
51V NMR spectra, deduced the respective lineshifts
K(T), spin-lattice relaxation rates
1∕T1, and spin-spin relaxation rates
1∕T2 and
1∕T2G. The results are compared to theoretical predictions for the relaxation rates
1∕T1(T) and
1∕T2G(T) deduced from the dynamic susceptibility $\ensuremath{\chi}(\mathbf{q},\ensuremath{\omega})$ of a 1D HAF spin chain as proposed by Sachdev [Phys. Rev. B 50, 13006 (1994)]. We document a correspondence between the anisotropic relaxation rates derived from electron paramagnetic resonance linewidth $\mathrm{\ensuremath{\Delta}}H(T)$ and nuclear magnetic resonance
1∕T1(T), respectively, the former being well described in the framework of symmetric anisotropic exchange interactions for
LiCuVO4 by Krug von Nidda et al. [Phys. Rev. B 65, 134445 (2002)].