TY - JOUR
T1 - Structures on valuations
AU - Alesker, Semyon
N1 - Publisher Copyright:
© Springer International Publishing AG 2017.
PY - 2017
Y1 - 2017
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85026393631&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-51951-7_3
DO - 10.1007/978-3-319-51951-7_3
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AN - SCOPUS:85026393631
SN - 0075-8434
VL - 2177
SP - 67
EP - 78
JO - Lecture Notes in Mathematics
JF - Lecture Notes in Mathematics
ER -