AI 中文总结
研究实直线上既是谱集又是三个区间之并的有界可测子集,通过基于久期行列式的新余因子刚性方法,证明其能平移平铺直线,完成富格莱德猜想此类情况。
AI 中文摘要
我们证明了实直线上每个既是谱集又是三个区间之并的有界可测子集通过平移能平铺直线,从而完成了此类的富格莱德猜想。证明基于相关自伴导数的久期行列式发展了一种新的余因子刚性方法。
英文摘要
We prove that every bounded measurable subset of the real line that is both spectral and a union of three intervals tiles the line by translations, thereby completing Fuglede's conjecture for this class. The proof develops a new cofactor-rigidity method based on the secular determinant of an associated self-adjoint derivative.
Comments33 pages