We solve the inverse spectral problem for rotationally symmetric manifolds, which include the class of surfaces of revolution, by giving an analytic isomorphism from the space of spectral data onto the space of functions describing the radius of rotation. An analogue of the Minkowski problem is also solved.

中文翻译：

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反谱理论和旋转表面的闵可夫斯基问题

我们通过给出从谱数据空间到描述旋转半径的函数空间的解析同构来解决旋转对称流形的逆谱问题，其中包括旋转表面的类。闵可夫斯基问题的一个类似物也被解决了。