Scholarlink

<p>We consider linear differential equations on the unit circle whose coefficients are Toeplitz operators with smooth symbols. Using the semiclassical approximation, we construct asymptotic solutions of the eigenvalue problem for such operators. Examples include a first-order equation with a Toeplitz operator in the free term and a Sturm–Liouville operator with a Toeplitz potential.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

On semiclassical asymptotics of solutions of linear differential equations with Toeplitz coefficients

  • 期刊论文

  • 发表日期：

    2026年1月13日

查看全文
  • S. Yu. Dobrokhotov,
  • V. E. Nazaikinskii

摘要

We consider linear differential equations on the unit circle whose coefficients are Toeplitz operators with smooth symbols. Using the semiclassical approximation, we construct asymptotic solutions of the eigenvalue problem for such operators. Examples include a first-order equation with a Toeplitz operator in the free term and a Sturm–Liouville operator with a Toeplitz potential.