Localization Operators for Ridgelet Transforms
نویسندگان
چکیده
منابع مشابه
Localization operators on homogeneous spaces
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...
متن کاملMultiscaled Wavelet Transforms, Ridgelet Transforms, and Radon Transforms on the Space of Matrices
Let Mn,m be the space of real n × m matrices which can be identified with the Euclidean space R. We introduce continuous wavelet transforms on Mn,m with a multivalued scaling parameter represented by a positive definite symmetric matrix. These transforms agree with the polar decomposition on Mn,m and coincide with classical ones in the rank-one case m = 1. We prove an analog of Calderón’s repro...
متن کاملRadon and Ridgelet transforms applied to motion compensated images
Images are typically described via orthogonal, non-redundant transforms like wavelet or discrete cosine transform. The good performances of wavelets in one-dimensional domain are lost when they are applied to images using 2D separable basis since they are not able to efficiently code one-dimensional singularities. The Ridgelet transform achieves very compact representation of linear singulariti...
متن کاملSquare-integrable Group Representations and Localization Operators for Modified Stockwell Transforms
where φb,ξ = (2π)MξT−bDξφ, the modulation operator Mξ, the translation operator T−b and the dilation operator D 1 ξ are defined by (Mξh)(x) = e ixξh(x), (T−bh)(x) = h(x− b), (Dξh)(x) = |ξ|h(ξx), for all x in R and all measurable functions h on R. The Stockwell transform is a versatile tool first introduced in [11]. More recent results on the Stockwell transform in the contexts of applications c...
متن کاملlocalization operators on homogeneous spaces
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...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical Modelling of Natural Phenomena
سال: 2014
ISSN: 0973-5348,1760-6101
DOI: 10.1051/mmnp/20149513