Geodesic
Local Toeplitz operators based on wavelets: phase space patterns for rough wavelets
Studia Mathematica, Tome 119 (1996) no. 1, pp. 37-64

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

We consider two standard group representations: one acting on functions by translations and dilations, the other by translations and modulations, and we study local Toeplitz operators based on them. Local Toeplitz operators are the averages of projection-valued functions $g ↦ P_{g,ϕ}$, where for a fixed function ϕ, $P_{g,ϕ}$ denotes the one-dimensional orthogonal projection on the function $U_gϕ$, U is a group representation and g is an element of the group. They are defined as integrals $ʃ_W P_{g,ϕ} dg$, where W is an open, relatively compact subset of a group. Our main result is a characterization of function spaces corresponding to local Toeplitz operators with pth power summable eigenvalues, 0 p ≤ ∞.
DOI : 10.4064/sm-119-1-37-64
Keywords: singular values, time-frequency localization

Krzysztof Nowak 1

1 
@article{10_4064_sm_119_1_37_64,
     author = {Krzysztof Nowak},
     title = {Local {Toeplitz} operators based on wavelets: phase space patterns for rough wavelets},
     journal = {Studia Mathematica},
     pages = {37--64},
     publisher = {mathdoc},
     volume = {119},
     number = {1},
     year = {1996},
     doi = {10.4064/sm-119-1-37-64},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-119-1-37-64/}
}
TY  - JOUR
AU  - Krzysztof Nowak
TI  - Local Toeplitz operators based on wavelets: phase space patterns for rough wavelets
JO  - Studia Mathematica
PY  - 1996
SP  - 37
EP  - 64
VL  - 119
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm-119-1-37-64/
DO  - 10.4064/sm-119-1-37-64
LA  - en
ID  - 10_4064_sm_119_1_37_64
ER  - 
%0 Journal Article
%A Krzysztof Nowak
%T Local Toeplitz operators based on wavelets: phase space patterns for rough wavelets
%J Studia Mathematica
%D 1996
%P 37-64
%V 119
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/sm-119-1-37-64/
%R 10.4064/sm-119-1-37-64
%G en
%F 10_4064_sm_119_1_37_64
Krzysztof Nowak. Local Toeplitz operators based on wavelets: phase space patterns for rough wavelets. Studia Mathematica, Tome 119 (1996) no. 1, pp. 37-64. doi: 10.4064/sm-119-1-37-64

Cité par Sources :