Approximation by group invariant subspaces

Aldroubi, 2007, Optimal shift invariant spaces and their Parseval frame generators, Appl. Comput. Harmon. Anal., 23, 273, 10.1016/j.acha.2007.05.001

Andén, 2014, Deep scattering spectrum, IEEE Trans. Signal Process., 62, 4114, 10.1109/TSP.2014.2326991

Barbieri, 2019, Calderón-type inequalities for affine frames, Appl. Comput. Harmon. Anal., 10.1016/j.acha.2019.07.004

Barbieri, 2015, Riesz and frame systems generated by unitary actions of discrete groups, Appl. Comput. Harmon. Anal., 39, 369, 10.1016/j.acha.2014.09.007

Barbieri, 2020, Spaces invariant under unitary representations of discrete groups, J. Math. Anal. Appl., 10.1016/j.jmaa.2020.124357

Bieberbach, 1910, Über die Bewegungsgruppen der Euklidischen Räume I, Math. Ann., 70, 297, 10.1007/BF01564500

Bownik, 2000, The structure of shift-invariant subspaces of L2(Rn), J. Funct. Anal., 177, 282, 10.1006/jfan.2000.3635

Bownik, 2015, The structure of translation-invariant spaces on locally compact Abelian groups, J. Fourier Anal. Appl., 21, 849, 10.1007/s00041-015-9390-5

Christensen, 2003

Citti, 2006, A cortical based model of perceptual completion in the roto-translation space, J. Math. Imaging Vis., 24, 307, 10.1007/s10851-005-3630-2

de Boor, 1994, The structure of finitely generated shift-invariant subspaces of L2(Rn), J. Funct. Anal., 119, 37, 10.1006/jfan.1994.1003

Effros, 1965, Transformation groups and C⁎-algebras, Ann. Math., 81, 38, 10.2307/1970381

Eckart, 1936, The approximation of one matrix by another of lower rank, Psychometrica, 1, 211, 10.1007/BF02288367

Farkas, 1981, Crystallographic groups and their mathematics, Rocky Mt. J. Math., 11, 511, 10.1216/RMJ-1981-11-4-511

Folland, 2015

Gohberg, 1990

Grünbaum, 1987

Halmos, 1950

Helson, 1964

Hernández, 2010, Cyclic subspaces for unitary representations of LCA groups; generalized Zak transform, Colloq. Math., 118, 313, 10.4064/cm118-1-17

Mallat, 2008

Mallat, 2012, Group invariant scattering, Commun. Pure Appl. Math., 65, 1331, 10.1002/cpa.21413

Morris, 1977

Pontryagin, 1946

Schmidt, 1907, Zur Theorie der linearen und nichtlinearen Integralgleichungen. I Teil. Entwicklung willkürlichen Funktionen nach System vorgeschriebener, Math. Ann., 63, 433, 10.1007/BF01449770