Geodesic
On the spectral properties of translation operators in one-dimensional tubes
Annales Polonici Mathematici, Tome 55 (1991) no. 1, pp. 157-161
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

We study the spectral properties of some group of unitary operators in the Hilbert space of square Lebesgue integrable holomorphic functions on a one-dimensional tube (see formula (1)). Applying the Genchev transform ([2], [5]) we prove that this group has continuous simple spectrum (Theorem 4) and that the projection-valued measure for this group has a very explicit form (Theorem 5). 
@article{10_4064_ap_55_1_157_161,
     author = {Wojciech Hyb},
     title = {On the spectral properties of translation operators in one-dimensional tubes},
     journal = {Annales Polonici Mathematici},
     pages = {157--161},
     year = {1991},
     volume = {55},
     number = {1},
     doi = {10.4064/ap-55-1-157-161},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-55-1-157-161/}
}
TY  - JOUR
AU  - Wojciech Hyb
TI  - On the spectral properties of translation operators in one-dimensional tubes
JO  - Annales Polonici Mathematici
PY  - 1991
SP  - 157
EP  - 161
VL  - 55
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap-55-1-157-161/
DO  - 10.4064/ap-55-1-157-161
LA  - en
ID  - 10_4064_ap_55_1_157_161
ER  - 
%0 Journal Article
%A Wojciech Hyb
%T On the spectral properties of translation operators in one-dimensional tubes
%J Annales Polonici Mathematici
%D 1991
%P 157-161
%V 55
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4064/ap-55-1-157-161/
%R 10.4064/ap-55-1-157-161
%G en
%F 10_4064_ap_55_1_157_161
Wojciech Hyb. On the spectral properties of translation operators in one-dimensional tubes. Annales Polonici Mathematici, Tome 55 (1991) no. 1, pp. 157-161. doi: 10.4064/ap-55-1-157-161

Cité par Sources :