On the measurability of sets of pairs of straight lines in the simply isotropic space

Margarita G. Spirova; Adrijan V. Borisov

Banach Center Publications (2005)

  • Volume: 69, Issue: 1, page 243-256
  • ISSN: 0137-6934

Abstract

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We study the measurability of sets of pairs of straight lines with respect to the group of motions in the simply isotropic space I ( 1 ) by solving PDEs. Also some Crofton type formulas are obtained for the corresponding densities.

How to cite

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Margarita G. Spirova, and Adrijan V. Borisov. "On the measurability of sets of pairs of straight lines in the simply isotropic space." Banach Center Publications 69.1 (2005): 243-256. <http://eudml.org/doc/282021>.

@article{MargaritaG2005,
abstract = {We study the measurability of sets of pairs of straight lines with respect to the group of motions in the simply isotropic space $I₃^\{(1)\}$ by solving PDEs. Also some Crofton type formulas are obtained for the corresponding densities.},
author = {Margarita G. Spirova, Adrijan V. Borisov},
journal = {Banach Center Publications},
keywords = {density; measurability; simply isotropic space},
language = {eng},
number = {1},
pages = {243-256},
title = {On the measurability of sets of pairs of straight lines in the simply isotropic space},
url = {http://eudml.org/doc/282021},
volume = {69},
year = {2005},
}

TY - JOUR
AU - Margarita G. Spirova
AU - Adrijan V. Borisov
TI - On the measurability of sets of pairs of straight lines in the simply isotropic space
JO - Banach Center Publications
PY - 2005
VL - 69
IS - 1
SP - 243
EP - 256
AB - We study the measurability of sets of pairs of straight lines with respect to the group of motions in the simply isotropic space $I₃^{(1)}$ by solving PDEs. Also some Crofton type formulas are obtained for the corresponding densities.
LA - eng
KW - density; measurability; simply isotropic space
UR - http://eudml.org/doc/282021
ER -

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