Abstract
We characterize some \(L^p\)-type eigenfunctions of the Laplace–Beltrami operator on harmonic \(NA\) groups corresponding to the eigenvalue \((\rho ^2-\beta ^2)\) for all \(\beta >0\).
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Acknowledgments
This work was completed while both authors were visiting IISc Bangalore India. They are grateful to Prof. S. Thangavelu for his invitation as well as to the staff of the Department of Mathematics there for their kind support and warm hospitality. The authors would like to thank the referee for the valuable comments and suggestions made.
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Damek, E., Kumar, P. Eigenfunctions of the Laplace–Beltrami Operator on Harmonic \(NA\) Groups. J Geom Anal 26, 1913–1924 (2016). https://doi.org/10.1007/s12220-015-9613-7
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DOI: https://doi.org/10.1007/s12220-015-9613-7