Symmetry orbits and their data-analytic properties. (Spanish. English summary) Zbl 1316.62011
Summary: The concept of data indexed by finite symmetry orbits is reviewed within the data-analytic framework of symmetry studies. Data decompositions are discussed in terms of canonical projections and Plancherel’s formulas, and interpreted in terms of orbit invariants.
MSC:
| 62A99 | Foundational topics in statistics |
| 05E05 | Symmetric functions and generalizations |
| 62-07 | Data analysis (statistics) (MSC2010) |
| 43A30 | Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. |
