$L\sp{p}$-convolution operators supported by subgroups

Continuityof Operators Intertwiningwith Convolution Operators

Let G be a locally compact abelian group, let m be a bounded complex-valued Borel measure on G; and let Tm be the corresponding convolution operator on LðGÞ: Let X be a Banach space and let S be a continuous linear operator on X : Then we show that every linear operator F : X ! LðGÞ such that FS 1⁄4 TmF is continuous if and only if the pair ðS;TmÞ has no critical eigenvalue. # 2002 Elsevier Sci...

Sofic groups and convolution operators

Conjecture: Let Γ be a discrete group, f ∈ L(Γ) and Tf : L (Γ) → L(Γ) be the right convolution by f . Then if Tf is injective, it is surjective as well. We prove the conjecture for the class of sofic groups. AMS Subject Classification: 43A20

Compactly Supported Multivariate Wavelet Frames Obtained by Convolution

In this paper, we construct pairs of compactly supported dual wavelet frames for general dilations. We obtain smooth wavelets with small supports by convolution. Our approach leads to wavelets that have a high number of vanishing moments. Moreover, the corresponding refinable function is interpolating. The wavelets for the quincunx dilation matrix in our examples additionally have very high sym...

Subordination and Super Ordination Results Involving Certain Convolution Operators

DECOMPOSITION AND INVERSION OF CONVOLUTION OPERATORS By ZOHRA

viii CHAPTERS