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Roe–Strichartz theorem on two‐step nilpotent Lie groups

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  • Sayan Bagchi
  • Ashisha Kumar
  • Suparna Sen

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.

Suggested Citation

  • Sayan Bagchi & Ashisha Kumar & Suparna Sen, 2023. "Roe–Strichartz theorem on two‐step nilpotent Lie groups," Mathematische Nachrichten, Wiley Blackwell, vol. 296(7), pages 2691-2700, July.
    • Handle: RePEc:bla:mathna:v:296:y:2023:i:7:p:2691-2700
    DOI: 10.1002/mana.202000270
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