Cheng Zhang

activity

20172026

most citedOn an inverse scattering transform for the nonlinear Schödinger equation on the half-line

3 citations · 7 across the 11 of their papers we have counts for

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math.CA2026

Eigenvalues and eigenfunctions of the fractional Laplacian on the interval

Cheng Zhang

We prove a three-term asymptotic formula for the eigenvalues of the fractional Laplacian on the bounded interval $(- 1, 1)$ . This improves the eigenvalue asymptotics of Kulczycki--Kw…

math.CA2026

Maximal growth of the Stein-Wainger oscillatory integral

Cheng Zhang, Zhifei Zhu

We establish a precise hierarchy for the maximal growth of the Stein-Wainger oscillatory integral as the regularity of the phase varies over Denjoy-Carleman classes, such as the Ge…

math.CA2017★ 1 cited

Zeros of the deformed exponential function

Liuquan Wang, Cheng Zhang

Let $f (x) = \sum_{n = 0}^{\infty} \frac{1}{n !} q^{n (n - 1) /2} x^{n}$ ( $0 < q < 1$ ) be the deformed exponential function. It is known that the zeros of $f (x)$ are real and form a negative decreasi…