Resumen de Eigenvalues of the Hodge Laplacian on the Heisenberg group

Detlef Müller, Marco M. Peloso, 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.