Results 51 to 60 of about 2,298 (82)

Weyl-Heisenberg frames for subspaces of L^2(R)

, 1998
We give sufficient conditions for translates and modulates of a function g in L^2(R) to be a frame for its closed linear span. Even in the case where this family spans all of L^2(R), wou conditions are significantly weaker than the previous known ...
Casazza, Peter G., Christensen, Ole
core  

Complex conference matrices, Complex Hadamard matrices and equiangular tight frames [PDF]

arXiv, 2014
We construct new, previously unknown parametric families of complex conference matrices and of complex Hadamard matrices of square orders and related them to complex equiangular tight frames.
arxiv  

Clusters of exponential functions in the space of square integrable functions [PDF]

arXiv, 2014
Finite dimensional subspaces spanned by exponential functions in the space of square integrable functions on a finite interval of the real line are considered. Their limiting positions are studied and described in terms of expo-polynomials.
arxiv  

The solution to the Kadison--Singer Problem: yet another presentation [PDF]

arXiv, 2015
In the summer of 2013 Marcus, Spielman, and Srivastava gave a surprising and beautiful solution to the Kadison--Singer problem. The current presentation is slightly more didactical than other versions that have appeared since; it hopes to contribute to a thorough understanding of this amazing proof.
arxiv  

Localization of Fréchet Frames and Expansion of Generalized Functions. [PDF]

Bull Malays Math Sci Soc, 2021
Pilipović S, Stoeva DT.
europepmc   +1 more source

On the Duality between Sampling and Interpolation [PDF]

arXiv, 2015
We present a simple method based on the stability and duality of the properties of sampling and interpolation, which allows one to substantially simplify the proofs of some classical results.
arxiv  

Compare and contrast between duals of fusion and discrete frames

, 2016
Fusion frames are valuable generalizations of discrete frames. Most concepts of fusion frames are shared by discrete frames. However, the dual setting is so complicated.
Arefijamaal, Ali Akbar, Osgooei, Elnaz
core   +1 more source

A Constructive Approach to the Finite Wavelet Frames over Prime Fields [PDF]

arXiv, 2017
In this article, we present a constructive method for computing the frame coefficients of finite wavelet frames over prime fields using tools from computational harmonic analysis and group theory.
arxiv  

Spectral pairs and positive definite tempered distributions [PDF]

arXiv, 2017
The present paper presents two new approaches to Fourier series and spectral analysis of singular measures.
arxiv  

Closure of dilates of shift-invariant subspaces

Open Mathematics, 2013
Soto-Bajo Moisés
doaj   +1 more source