Symbolic Calculus and Fredholm Property for Localization Operators
نویسندگان
چکیده
منابع مشابه
Symbolic Calculus and Fredholm Property for Localization Operators
We study the composition of time-frequency localization operators (wavepacket operators) and develop a symbolic calculus of such operators on modulation spaces. The use of time-frequency methods (phase space methods) allows the use of rough symbols of ultra-rapid growth in place of smooth symbols in the standard classes. As the main application it is shown that, in general, a localization opera...
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Let $G$ be a locally compact group, $H$ be a compact subgroup of $G$ and $varpi$ be a representation of the homogeneous space $G/H$ on a Hilbert space $mathcal H$. For $psi in L^p(G/H), 1leq p leqinfty$, and an admissible wavelet $zeta$ for $varpi$, we define the localization operator $L_{psi,zeta} $ on $mathcal H$ and we show that it is a bounded operator. Moreover, we prove that the localizat...
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ژورنال
عنوان ژورنال: Journal of Fourier Analysis and Applications
سال: 2006
ISSN: 1069-5869,1531-5851
DOI: 10.1007/s00041-005-5077-7