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Resumen de Eigenvalues of the Hodge Laplacian on the Heisenberg group

Detlef Müller, Marco M. Peloso Árbol académico, Fulvio Ricci

  • We study the spectrum of the Hodge Laplacian 1 acting on 1-forms on the (2n+1)-dimensional Heisenberg group Hn, by finding the eigenvalues of the image of 1 in the Bargmann representations. As a consequence, we determine explicitly the eigenvalues for 1 on some compact quotients of Hn.

    This note is part of a larger project [7], in which we study the question of the boundedness of spectral multipliers of 1 on Hn.


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