Two applications of the integral geometry in affine and projective spaces
dc.contributor.author
dc.date.accessioned
2009-07-16T07:33:24Z
dc.date.available
2009-07-16T07:33:24Z
dc.date.created
1960
dc.identifier.citation
Santaló, L. (1960). Two applications of the integral geometry in affine and projective spaces. Publicationes Mathematicae Debreecen, 7, 226-237
dc.identifier.uri
dc.description.abstract
The integral geometry in projective space was initiated by VARGA [1935] and continued, together with the integral geometry in affine space, by the present author [1950]. In this paper we give two applications of these concepts. First we consider the density for sets of pairs of parallel hyper planes invariant with respect to the unimodular affine group. Then we evaluate the measure of all pairs of parallel hyper planes which contain a given convex body K. The second application concerns the density for sets of hyper quadrics invariant with respect to the projective group. We give the explicit forms (5.14), (5.16) and (5. 19) of this density. For n = 2 (conics on the plane) the formula (5.19) was given by STOKA
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application/pdf
dc.language.iso
Anglès
dc.publisher
Institutum Mathematicum Universitatis Debreceniensis
dc.relation.ispartof
Publicationes Mathematicae Debreecen, 1960, vol. 7, p. 226-237
dc.relation.ispartofseries
Publicacions
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Tots els drets reservats
dc.title
Two applications of the integral geometry in affine and projective spaces
dc.type
Article
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info:eu-repo/semantics/openAccess