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

Voir la notice de l'article dans European Digital Mathematics Library

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 g ϕ , U is a group representation and g is an element of the group. They are defined as integrals ʃ W P g , ϕ d g , 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 ≤ ∞.
Classification : 47B10, 47B35, 46E30, 81R30, 42C40
Mots-clés : singular values, time-frequency localization, rough wavelets, group representations, dilations, translations, modulations, local Toeplitz operator, left invariant measure, th power summable eigenvalues, Schatten ideal, integral lattice, Fourier transform, inverse Fourier transform 
@article{STUMA_1996__119_1_216285,
     author = {Krzysztof Nowak},
     title = {Local {Toeplitz} operators based on wavelets: phase space patterns for rough wavelets},
     journal = {Studia Mathematica},
     pages = {37},
     publisher = {mathdoc},
     volume = {119},
     number = {1},
     year = {1996},
     zbl = {0864.47012},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/item/STUMA_1996__119_1_216285/}
}
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
VL  - 119
IS  - 1
PB  - mathdoc
UR  - https://geodesic-test.mathdoc.fr/item/STUMA_1996__119_1_216285/
LA  - en
ID  - STUMA_1996__119_1_216285
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
%V 119
%N 1
%I mathdoc
%U https://geodesic-test.mathdoc.fr/item/STUMA_1996__119_1_216285/
%G en
%F STUMA_1996__119_1_216285
Krzysztof Nowak. Local Toeplitz operators based on wavelets: phase space patterns for rough wavelets. Studia Mathematica, Tome 119 (1996) no. 1, p. 37. https://geodesic-test.mathdoc.fr/item/STUMA_1996__119_1_216285/