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AN ASYMPTOTIC EXPANSION OF THE EIGENVALUE COUNTING FUNCTION FOR THE TWISTED BI-LAPLACIAN
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We begin the talk with a very brief
recall of the sub-Laplacian on the one-dimensional
Heisenberg group and the related twisted Laplacian. The complete spectral analysis of the twisted
Laplacian is given to-gether with its main
misgivings, which lead to the study of the twisted
bi-Laplacian. The aim of the talk is to explain a
proof of an asymptotic expan-sion of the
eigenvalue counting function for the twisted biLaplacian with connections to the Dirichlet divisor
problem and Professor G.H. Hardy’s contribution
to the problem.
Azerbaijan University of Architecture and Construction
Title: AN ASYMPTOTIC EXPANSION OF THE EIGENVALUE COUNTING FUNCTION FOR THE TWISTED BI-LAPLACIAN
Description:
We begin the talk with a very brief
recall of the sub-Laplacian on the one-dimensional
Heisenberg group and the related twisted Laplacian.
The complete spectral analysis of the twisted
Laplacian is given to-gether with its main
misgivings, which lead to the study of the twisted
bi-Laplacian.
The aim of the talk is to explain a
proof of an asymptotic expan-sion of the
eigenvalue counting function for the twisted biLaplacian with connections to the Dirichlet divisor
problem and Professor G.
H.
Hardy’s contribution
to the problem.
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