A QUASI-AFFINE REPRESENTATION

A quasi-Affine Representation

We describe a quasi-affine representation for algebras having a binary central term.

A Mean Ergodic Theorem For Asymptotically Quasi-Nonexpansive Affine Mappings in Banach Spaces Satisfying Opial's Condition

Quasi-Affine Transformation in Higher Dimension

In many applications and in many fields, algorithms can considerably be speed up if the underlying arithmetical computations are considered carefully. In this article, we present a theoretical analysis of discrete affine transformations in higher dimension. More precisely, we investigate the arithmetical paving structure induced by the transformation to design fast algorithms.

Abelian Differential Modes Are Quasi-affine

We study a class of strongly solvable modes, called differential modes. We characterize abelian algebras in this class and prove that all of them are quasi-affine, i.e., they are subreducts of modules over commutative rings.

Oversampling, Quasi Affine Frames and Wave Packets

In [11], three of the authors obtained a characterization of certain types of reproducing systems. In this work, we apply these results and methods to various affine–like, wave packets and Gabor systems to determine their frame properties. In particular, we study how oversampled systems inherit properties (like the frame bounds) of the original systems. Moreover, our approach allows us to study...