Hard Lefschetz theorem for valuations and related questions of integral geometry

@inproceedings{Alesker2003HardLT,
  title={Hard Lefschetz theorem for valuations and related questions of integral geometry},
  author={Semyon Alesker},
  year={2003}
}
We continue studying the properties of the multiplicative structure on valuations. We prove yet another version of the hard Lefschetz theorem for even translation invariant continuous valuations, and discuss problems of integral geometry staying behind these properties. Then we formulate a conjectural analogue of this result for odd valuations. 0 Introduction. In this article we continue studying properties of the multiplicative structure on valuations introduced in [3]. In [4] we have proven a… CONTINUE READING