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| Title: | Roe–Strichartz theorem on two-step nilpotent Lie groupsa |
| Authors: | Kumar, Ashisha |
| Keywords: | eigenfunction;sub-Laplacian;two-step nilpotent Lie group |
| Issue Date: | 2023 |
| Publisher: | John Wiley and Sons Inc |
| Citation: | Bagchi, S., Kumar, A., & Sen, S. (2023). Roe–Strichartz theorem on two-step nilpotent lie groupsa. Mathematische Nachrichten, doi:10.1002/mana.202000270 |
| Abstract: | Strichartz characterized eigenfunctions of the Laplacian on Euclidean spaces by boundedness conditions which generalized a result of Roe for the one-dimensional case. He also proved an analogous statement for the sub-Laplacian on the Heisenberg groups. In this paper, we extend this result to connected, simply connected two-step nilpotent Lie groups. © 2023 Wiley-VCH GmbH. |
| URI: | https://doi.org/10.1002/mana.202000270 https://dspace.iiti.ac.in/handle/123456789/11888 |
| ISSN: | 0025-584X |
| Type of Material: | Journal Article |
| Appears in Collections: | Department of Mathematics |
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