On the differentiation theorem in metric groups

Milan Studený

Commentationes Mathematicae Universitatis Carolinae (1983)

  • Volume: 024, Issue: 2, page 223-232
  • ISSN: 0010-2628

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Studený, Milan. "On the differentiation theorem in metric groups." Commentationes Mathematicae Universitatis Carolinae 024.2 (1983): 223-232. <http://eudml.org/doc/17244>.

@article{Studený1983,
author = {Studený, Milan},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {metric spaces equipped with two different measures agreeing on balls; compact metric group with translation invariant metric; weak differentiation theorem of Christensen's type; small ball theorem; almost uniform measure},
language = {eng},
number = {2},
pages = {223-232},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the differentiation theorem in metric groups},
url = {http://eudml.org/doc/17244},
volume = {024},
year = {1983},
}

TY - JOUR
AU - Studený, Milan
TI - On the differentiation theorem in metric groups
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1983
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 024
IS - 2
SP - 223
EP - 232
LA - eng
KW - metric spaces equipped with two different measures agreeing on balls; compact metric group with translation invariant metric; weak differentiation theorem of Christensen's type; small ball theorem; almost uniform measure
UR - http://eudml.org/doc/17244
ER -

References

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  1. BOCLÉ J., Sur la théorie ergodique, Annales Inst. Fourier (Grenoble) 10 (1960), 1-45. (1960) MR0139717
  2. CHRISTENSEN J. P. R., A survey of small ball theorems and problems, Measure theory Oberwolfach 1979 (Proc. Conf. Oberwolfach 1979), 24-30, Lecture Notes in Math. 734, Springer, Berlin 1980. (1979) MR0577955
  3. CHRISTENSEN J. P. R., On some measures analogous to Haar measure, Math. Scand. 26 (1970), 103-106. (1970) Zbl0191.43103MR0260979
  4. DAVIES R. O., Measures not approximable or not specifiable by means of balls, Mathematica 18 (1971), 157-160. (1971) Zbl0229.28005MR0310162
  5. MATTILA P., Differentiation of measures in uniform spaces, Measure Theory Oberwolfach 1979 (Proc. Conf. Oberwolfach 1979), 261-284, Lecture Notes in Math. 794, Springer, Berlin 1980. (1979) MR0577976
  6. RUDIN W., Real and complex analysis, Mac-Graw-Hill, New York 1974. (1974) Zbl0278.26001MR0344043

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