Geometry of Euclidean Sets: Vectorial, Topological and Metric Aspects : Geometric Measure Theory III: Geometric Densities

Geometric Measure Theory III: Geometric Densities
Geometry of Euclidean Sets: Vectorial, Topological and Metric Aspects

Author : Jean-Charles PINOLI

Publication date: May 10, 2026 | Lire en français

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12. Geometric Measure Theory III: Geometric Densities

12.1 Lebesgue density

The approximate Lebesgue density for a spatial scale $r (r \in ℝ_{0}^{+})$ at a point x on $ℝ_{2}^{n}$ for a subset X $μ_{L_{n}}$ -a non-empty measurable set of $ℝ_{2}^{n}$ ,...

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Geometric Measure Theory III: Geometric Densities

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Geometric Measure Theory IV: Rectifiable Sets

Bibliography

(1) - AUBIN (J.P.), FRANKOWSKA (H.) - Set-Valued Analysis, - Birkhäuser (1990).
(2) - BERGER (M.) - Geometry, - Springer, vol. 1 and 2, [1st ed., 1987] (2009).
(3) - BLOCH (E.D.) - A First Course...

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Geometric Measure Theory III: Geometric Densities Geometry of Euclidean Sets: Vectorial, Topological and Metric Aspects

12. Geometric Measure Theory III: Geometric Densities

12.1 Lebesgue density

Bibliography

Geometric Measure Theory III: Geometric Densities
Geometry of Euclidean Sets: Vectorial, Topological and Metric Aspects