Geodesic
Characterizing translation invariant projections on Sobolev spaces on tori by the coset ring and Paley projections
Studia Mathematica, Tome 104 (1993) no. 2, pp. 181-193

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We characterize those anisotropic Sobolev spaces on tori in the $L^1$ and uniform norms for which the idempotent multipliers have a description in terms of the coset ring of the dual group. These results are deduced from more general theorems concerning invariant projections on vector-valued function spaces on tori. This paper is a continuation of the author's earlier paper [W].
DOI : 10.4064/sm-104-2-181-193

M. Wojciechowski 1

1 
@article{10_4064_sm_104_2_181_193,
     author = {M. Wojciechowski},
     title = {Characterizing translation invariant projections on {Sobolev} spaces on tori by the coset ring and {Paley} projections},
     journal = {Studia Mathematica},
     pages = {181--193},
     publisher = {mathdoc},
     volume = {104},
     number = {2},
     year = {1993},
     doi = {10.4064/sm-104-2-181-193},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-104-2-181-193/}
}
TY  - JOUR
AU  - M. Wojciechowski
TI  - Characterizing translation invariant projections on Sobolev spaces on tori by the coset ring and Paley projections
JO  - Studia Mathematica
PY  - 1993
SP  - 181
EP  - 193
VL  - 104
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm-104-2-181-193/
DO  - 10.4064/sm-104-2-181-193
LA  - en
ID  - 10_4064_sm_104_2_181_193
ER  - 
%0 Journal Article
%A M. Wojciechowski
%T Characterizing translation invariant projections on Sobolev spaces on tori by the coset ring and Paley projections
%J Studia Mathematica
%D 1993
%P 181-193
%V 104
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/sm-104-2-181-193/
%R 10.4064/sm-104-2-181-193
%G en
%F 10_4064_sm_104_2_181_193
M. Wojciechowski. Characterizing translation invariant projections on Sobolev spaces on tori by the coset ring and Paley projections. Studia Mathematica, Tome 104 (1993) no. 2, pp. 181-193. doi: 10.4064/sm-104-2-181-193

Cité par Sources :