Structures on valuations

Semyon Alesker*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


In recent years on the space of translation invariant continuous valuations there have been discovered several canonical structures. Some of them turned out to be important for applications in integral geometry. In this chapter we review the relevant background and the main properties of the following new structures: product, convolution, Fourier type transform, and pull-back and push-forward of valuations under linear maps.

Original languageEnglish
Pages (from-to)67-78
Number of pages12
JournalLecture Notes in Mathematics
StatePublished - 2017


FundersFunder number
Israel Science Foundation1447/12


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