Keywords
irreducible characters
finite groups
canonical projections
Fourier transforms
convolution
representaciones irreducibles
características irrducibles
grupos finitos
proyecciones canónicas
transformada de Fourier
convolución
How to Cite
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).
Comments
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