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arXiv math/0607261math.DGmath.NT
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沿测地线的傅里叶展开

Fourier expansion along geodesics

Anton Deitmar

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。

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