Shift-invariant spaces on LCA groups
Tài liệu tham khảo
Bownik, 2000, The structure of shift-invariant subspaces of L2(Rn), J. Funct. Anal., 177, 282, 10.1006/jfan.2000.3635
Christensen, 2003, An Introduction to Frames and Riesz Bases, 10.1007/978-0-8176-8224-8
de Boor, 1994, Approximation from shift-invariant subspaces of L2(Rd), Trans. Amer. Math. Soc., 341, 787
de Boor, 1994, The structure of finitely generated shift-invariant subspaces of L2(Rd), J. Funct. Anal., 119, 37, 10.1006/jfan.1994.1003
Dodson, 2007, Groups and the sampling theorem, 1
Feldman, 1964, Existence of Borel transversal in groups, Pacific J. Math., 25, 10.2140/pjm.1968.25.455
Helson, 1964
Hewitt, 1963
Hewitt, 1970
Hasumi, 1964, Doubly invariant subspaces II, Pacific J. Math., 14, 525, 10.2140/pjm.1964.14.525
Kanuith, 1998, Zeros or the Zak transform on locally compact abelian groups, Amer. Math. Soc., 126, 3561, 10.1090/S0002-9939-98-04450-5
Kamyabi Gol, 2008, The structure of shift invariant spaces on a locally compact abelian group, J. Math. Anal. Appl., 340, 219, 10.1016/j.jmaa.2007.08.039
Kluvánek, 1965, Sampling theorem in abstract harmonic analysis, Mat.-Fyz. Casopis Sloven. Akad. Vied., 15, 43
Ron, 1995, Frames and stable bases for shift invariant subspaces of L2(Rd), Canad. J. Math., 47, 1051, 10.4153/CJM-1995-056-1
Rudin, 1962
Srinivasan, 1964, Doubly invariant subspaces, Pacific J. Math., 14, 701, 10.2140/pjm.1964.14.701