Structures on Valuations

Chapter
First Online:
Part of the Lecture Notes in Mathematics book series (LNM, volume 2177)

Abstract

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.

Keywords

Exterior Product Lefschetz Theorem Dimensional Real Vector Fourier Type Dimensional Real Vector Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Notes

Acknowledgements

Semyon Alesker is partially supported by ISF grant 1447/12.

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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Department of MathematicsTel Aviv UniversityRamat AvivIsrael

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