Colin Fan

collaborators

3 papers

math.CV2022

Schatten and Sobolev Estimates for Green Operators on Compact Heisenberg Manifolds

Colin Fan

Let $M = Γ ∖ H_{d}$ be a compact quotient of the $d$ -dimensional Heisenberg group $H_{d}$ by a lattice subgroup $Γ$ . We give Schatten and Sobolev estimates for…

math.DG2022

Spectral Analysis of the Kohn Laplacian on Lens Spaces

Colin Fan, Elena Kim, Ian Shors +3

We obtain an analog of Weyl's law for the Kohn Laplacian on lens spaces. We also show that two 3-dimensional lens spaces with fundamental groups of equal prime order are isospectra…

math.CV2021

A Tauberian Approach to an Analog of Weyl's law for the Kohn Laplacian on Compact Heisenberg Manifolds

Colin Fan, Elena Kim, Yunus E. Zeytuncu

Let $M = Γ ∖ H_{d}$ be a compact quotient of the $d$ -dimensional Heisenberg group $H_{d}$ by a lattice subgroup $Γ$ . We show that the eigenvalue counting functi…