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G. N. Hile and M. H. Protter, “Inequalities for Eigenvalues of the Laplacian,” Indiana University Mathematics Journal, Vol. 29, No. 4, 1980, pp. 523-538. doi:10.1512/iumj.1980.29.29040

has been cited by the following article:

• TITLE: On Riesz Mean Inequalities for Subelliptic Laplacian

  AUTHORS: Gao Jia, Jianming Wang, Ya Xiong

  KEYWORDS: Heisenberg Group, Riesz Mean, Subelliptic Laplacian

  JOURNAL NAME: Applied Mathematics, Vol.2 No.6, June 21, 2011

  ABSTRACT: In this paper, we mainly focus on the Riesz means of eigenvalues of the subelliptic Laplacian on the Heisenberg group Hn. We establish a trace formula of associated eigenvalues, then we prove differential inequalities, difference inequalities and monotonicity formulas for the Riesz means of eigenvalues of the subelliptic Laplacian.