Abstract
We continue studying the properties of the multiplicative structure on valuations. We prove a new version of the hard Lefschetz theorem for even translation invariant continuous valuations, and discuss the problems of integral geometry that lie behind these properties. Then we formulate a conjectural analogue of this result for odd valuations.
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© 2004 Springer-Verlag Berlin/Heidelberg
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Alesker, S. (2004). Hard Lefschetz Theorem for Valuations and Related Questions of Integral Geometry. In: Geometric Aspects of Functional Analysis. Lecture Notes in Mathematics, vol 1850. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-44489-3_2
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DOI: https://doi.org/10.1007/978-3-540-44489-3_2
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-22360-3
Online ISBN: 978-3-540-44489-3
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