Abstract
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.
References
Viana, M.; Lakshminarayanan, V. (2013) Dihedral Fourier Analysis: Data-Analytic Aspects and Applications. Lecture Notes in Statistics 206, Springer, New York, N.Y.
Viana, M. (2008) Symmetric Studies: An Introduction to the Analysis of Structured Data in Applications. Cambridge University Press, New York, N.Y.
Weyl, H. (1977) The Classical Groups: Their Invariants and Representations. Princeton University Press, Landmarks in Mathematics and Physics. Original work (1939).
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