Eigenvalues of the Hodge Laplacian on the Heisenberg group

• Autores: Detlef Müller, Marco M. Peloso , Fulvio Ricci
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 57, Fasc. Extra 1, 2006 (Ejemplar dedicado a: Proceedings of the 7th International Conference on Harmonic Analysis and Partial Differential Equations), págs. 327-342
• Idioma: español
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• Resumen

  • 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.