Yunus E. Zeytuncu

activity

20112021

most cited

L^{p}

Regularity of Some Weighted Bergman Projections on the Unit Disc

3 citations · 3 across the 9 of their papers we have counts for

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14 papers · 1 filter

math.CV2021

CR embeddability of quotients of the Rossi sphere via spectral theory

Henry Bosch, Tyler Gonzales, Kamryn Spinelli +2

We look at the action of finite subgroups of $SU (2)$ on $S^{3}$ , viewed as a CR manifold, both with the standard CR structure as the unit sphere in $C^{2}$ and…

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…

math.CV2020

A Tauberian Approach to Weyl's Law for the Kohn Laplacian on Spheres

Henry Bosch, Tyler Gonzales, Kamryn Spinelli +2

We compute the leading coefficient in the asymptotic expansion of the eigenvalue counting function for the Kohn Laplacian on the spheres. We express the coefficient as an infinite…

math.CV2020

A Survey of the $L^{p}$ Regularity of the Bergman Projection

Yunus E. Zeytuncu

Although the Bergman projection operator $B_{Ω}$ is defined on $L^{2} (Ω)$ , its behavior on other $L^{p} (Ω)$ spaces for $p \neq = 2$ is an active research area. We survey some of t…

math.CV2019

An Analog of the Weyl Law for the Kohn Laplacian on Spheres

Mohit Bansil, Yunus E. Zeytuncu

We present an explicit formula for the leading coefficient in the asymptotic expansion of the eigenvalue counting function of the Kohn Laplacian on the unit sphere $\mathbb{S}^{2n-…

math.CV2018

Spectra of Kohn Laplacians on Spheres

John Ahn, Mohit Bansil, Garrett Brown +2

In this note, we study the spectrum of the Kohn Laplacian on the unit spheres in $C^{n}$ and revisit Folland's classical eigenvalue computation. We also look at the growth r…