this article presents an analytic approach to study admissibility conditions related to classical full wavelet systems over finite fields using tools from computational harmonic analysis and theoretical linear algebra. it is shown that for a large class of non-zero window signals (wavelets), the generated classical full wavelet systems constitute a frame whose canonical dual are classical full ...

Fusion frames, and, more generally, operator-valued frame sequences are generalizations of classical frames, which are today a standard notion when redundant, yet stable sequences are required. However, the question of stability of duals with respect to perturbations has not been satisfactorily answered. In this paper, we quantitatively measure this stability by considering the associated devia...

Discrete dualities are developed for n-potent MTL–algebras and for 2-potent BL–algebras. That is, classes of frames, or relational systems, are defined that serve as dual counterparts to these classes of algebras. The frames defined here are extensions of the frames that were developed for MTL– algebras in [25], [26]; the additional frame conditions required are given here and also the proofs t...

A dual frames multiplier is an operator consisting of analysis, multiplication and synthesis processes, where the analysis are made by two in a Hilbert space, respectively. In this paper we investigate spectra some multipliers giving, particular, conditions to be at most countable. The contribution extends results available literature about Bessel with symbol decaying zero Riesz bases.