This authoritative text studies pseudodifferential and Fourier integral operators in the
framework of time-frequency analysis, providing an elementary approach, along with …

We show the existence of smooth band-limited multiresolution analysis (MRA) for any
expansive dilation with real entries in any spatial dimension. We then prove the existence of …

In this paper, we attempt to obtain sufficient conditions for the existence of tight wavelet
frame sets in locally compact abelian groups. The condition is generated by modulating a …

An Invitation to Gabor Analysis Page 1 An Invitation to Gabor Analysis Kasso A. Okoudjou
Introduction Using the ubiquitous theory of Fourier series, one can decompose and reconstruct …

Axioms | Free Full-Text | Wilson Bases and Ultradistributions Next Article in Journal Can You
Hear the Shape of a Market? Geometric Arbitrage and Spectral Theory Next Article in Special …

Given a window ϕ∈ L 2 (R), and lattice parameters α, β> 0, we introduce a bimodal Wilson
system W (ϕ, α, β) consisting of linear combinations of at most two elements from an …

Two main constructions of local Fourier bases are presented. The first consists in
constructing a simple orthonormal Wilson basis ψm, n where both ψm, n and its Fourier …

Given a window $\phi\in L^ 2 (\mathbb R), $ and lattice parameters $\alpha,\beta> 0, $ we
introduce a bimodal Wilson system $\mathcal {W}(\phi,\alpha,\beta) $ consisting of linear …

On Multivariate Wilson Bases Page 1 On Multivariate Wilson Bases Marcin Bownik Department of
Mathematics University of Oregon Eugene, OR 97403-1222, USA E-mail …