沿测地线的傅里叶展开
Fourier expansion along geodesics
摘要:
对于双曲黎曼曲面上拉普拉斯算子的本征函数,傅里叶展开的系数被描述为交织泛函。所有的缠绕机都是机密。给出了系数的精细增长估计,并证明了一个求和公式。
英文摘要:
For an eigenfunction of the Laplacian on a hyperbolic Riemann surface, the coefficients of the Fourier expansion are described as intertwining functionals. All intertwiners are classified. A refined growth estimate for the coefficients is given and a summation formula is proved.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。