7 citations · 18 across the 6 of their papers we have counts for
7 papers
Pointwise character bounds for
Yunfeng Zhang
We present a basic pointwise bound for the irreducible characters of and, as an application, derive new bounds for these characters. Our approach is based on…
Growth of Fourier--Lebesgue norms for mKdV
Saikatul Haque, Rowan Killip, Monica Visan +1
We demonstrate inflation of Fourier--Lebesgue norms for solutions to the focusing modified Korteweg--de Vries equation posed on the real line. For and all $s\in \mathbb{R…
Strichartz estimates for the Schrödinger equation on products of odd-dimensional spheres
Yunfeng Zhang
We prove Strichartz estimates for the Schrödinger equation which are scale-invariant up to an -loss on products of odd-dimensional spheres. Namely, for any product of…
Algebraic and analytic properties of invariant differential operators on a homogeneous space of complexity
Hanlong Fang, Xiaocheng Li, Yunfeng Zhang
Denote by the special linear group of degree 3 over the real numbers, the subgroup consisting of the diagonal matrices with positive entries. In this paper, w…
On Fourier restriction type problems on compact Lie groups
Yunfeng Zhang
In this article, we obtain new results for Fourier restriction type problems on compact Lie groups. We first provide a sharp form of estimates of irreducible characters in te…
Schrödinger equations on compact globally symmetric spaces
Yunfeng Zhang
In this article, we establish scale-invariant Strichartz estimates for the Schrödinger equation on arbitrary compact globally symmetric spaces and some bilinear Strichartz estimate…
Strichartz estimates for the Schrödinger flow on compact Lie groups
Yunfeng Zhang
We establish scale-invariant Strichartz estimates for the Schrödinger flow on any compact Lie group equipped with canonical rational metrics. In particular, full Strichartz estimat…