Erjuan Fu

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20202026

most citedA necessary and sufficient condition for the Darboux-Treibich-Verdier potential with its spectrum contained in

R

1 citations · 2 across the 9 of their papers we have counts for

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math.CA2026

On monodromy and spectral geometry of generalized Lamé equations with four singularities, I: half periods

Erjuan Fu, Chang-Shou Lin

We consider the unitary monodromy problem of the following generalized Lamé equations with apparent parameters \begin{equation*} y^{\prime\prime}(z)=\left(\frac{3}{4}\sum_{k=0}^3\w…

math.CA2021★ 1 cited

Spectrum of the Lamé operator along $Re τ = 1 / 2 :$ The genus $3$ case

Erjuan Fu

In this paper, we study the spectrum $σ (L)$ of the Lamé operator \begin{equation*}L=\frac{d^2}{dx^2}-12\wp(x+z_0;τ)\quad \text{in}\;\;L^2(\mathbb{R}, \mathbb{C}), \end{equation*} w…

math.CA2020★ 1 cited

A necessary and sufficient condition for the Darboux-Treibich-Verdier potential with its spectrum contained in $R$

Zhijie Chen, Erjuan Fu, Chang-Shou Lin

In this paper, we study the spectrum of the complex Hill operator $L = \frac{d ^{2}}{d x ^{2}} + q (x; τ)$ in $L^{2} (R, C)$ with the Darboux-Treibich-Verdier potential \[q(x;τ):=…

On monodromy and spectral geometry of generalized Lamé equations with four singularities, I: half periods

Spectrum of the Lamé operator along Reτ=1/2: The genus 3 case

A necessary and sufficient condition for the Darboux-Treibich-Verdier potential with its spectrum contained in R

Spectrum of the Lamé operator along $Re τ = 1 / 2 :$ The genus $3$ case

A necessary and sufficient condition for the Darboux-Treibich-Verdier potential with its spectrum contained in $R$