On the rose of intersections of stationary flat processes (Q2759809)
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scientific article; zbMATH DE number 1683780
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the rose of intersections of stationary flat processes |
scientific article; zbMATH DE number 1683780 |
Statements
On the rose of intersections of stationary flat processes (English)
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10 July 2002
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Grassmann manifolds
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manifold processes
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spherical harmonics
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sine transform
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rose of intersection
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Using harmonic analysis on higher order Grassmannians, the author obtains explicit formulae that express the directional distribution of a stationary \(k\)-flat process in \(R^d\) if its rose of intersections with all \(r\)-flats is known. The author considers the cases \(k=d-1\), \(k\leq r\leq d-1\) for arbitrary \(d\) and \(d=4\), \(k=2\), \(r=2\). Possible generalizations for manifold processes are also discussed.
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