Measure and integration Measures on topological spaces Concept
Support of a measure
Summary
The support of a measure on a topological space is the set of points all of whose open neighbourhoods have positive measure. It is a closed set, and it tells where the measure really lives. For a Radon measure the complement of the support has measure zero.
Where this leads
17 pages build on this one.
- Energy of a measure
- Shell theorem
- Orthogonal polynomials on the unit circle
- Interlacing of zeros of orthogonal polynomials
- Newtonian potential
- Mutual energy
- Capacity and Hausdorff dimension
- Orthogonal polynomials
- Positivity of Hankel matrices of moments
- Moments and orthogonal polynomials
- Maximum principle for potentials
- Frostman lemma
- Continuity principle
- Mean-periodic function
- Gauss's law for potentials
- Logarithmic potential
- Potential of a measure
Further reading
About this page
| Tag | FQTXV6BQZG |
|---|---|
| URI | m2://FQTXV6BQZG |
| Kind | concept |
| Writing | W0 stub |
| MSC | 28C15, 28A12 |
| Same as |
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Used by
- Energy of a measure
- Orthogonal polynomials on the unit circle
- Interlacing of zeros of orthogonal polynomials
- Newtonian potential
- Mutual energy
- Orthogonal polynomials
- Positivity of Hankel matrices of moments
- Maximum principle for potentials
- Frostman lemma
- Continuity principle
- Mean-periodic function
- Gauss's law for potentials
- Logarithmic potential
- Potential of a measure