Propriétés géométriques des sous-espaces invariants par translation de et
F. Lust-Piquard (1977/1978)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
Antoine Derighetti (1986)
Monatshefte für Mathematik
T. Pytlik (1982)
Publications du Département de mathématiques (Lyon)
Tadeusz Pytlik (1984)
Studia Mathematica
H. G. Feichtinger, S. S. Pandey (2003)
Czechoslovak Mathematical Journal
Using the techniques of approximation and factorization of convolution operators we study the problem of irregular sampling of band-limited functions on a locally compact Abelian group . The results of this paper relate to earlier work by Feichtinger and Gröchenig in a similar way as Kluvánek’s work published in 1969 relates to the classical Shannon Sampling Theorem. Generally speaking we claim that reconstruction is possible as long as there is sufficient high sampling density. Moreover, the iterative...
Aharon Atzmon (2001)
Annales de l’institut Fourier
A criterion for reducibility of certain representations of abelian groups is established. Among the applications of this criterion, we give a positive answer to the translation invariant subspace problem for weighted spaces on locally compact abelian groups, for even weights and .
Aleksander Strasburger (1989)
Annales Polonici Mathematici
I. Glicksberg (1980)
Mathematica Scandinavica
Nasr-Isfahani, A. (1998)
Bulletin of the Malaysian Mathematical Society. Second Series
Marek Bozejko (1981)
Mathematische Annalen
Justin Peters (1975)
Monatshefte für Mathematik
Torres de Squire, Maria (1987)
International Journal of Mathematics and Mathematical Sciences
S. Thangavelu (1991)
Journal für die reine und angewandte Mathematik
Hans G. Feichtinger (1977)
Mathematica Scandinavica
Ron C. Blei (1977)
Colloquium Mathematicae
Charles Dunkl, Donald Ramirez (1973)
Studia Mathematica
H. Porta, L. Rubel, A. Shields (1973)
Studia Mathematica
Colin C. Graham, Anthony To-Ming Lau, Michael Leinert (1988)
Colloquium Mathematicae
Waldemar Hebisch (1989)
Studia Mathematica
Leonardo, Giulini, Saverio Colzani (1989)
Mathematische Annalen