A5002733006- Mathematical Analysis and Transform Methods
- Advanced Harmonic Analysis Research
- Advanced Banach Space Theory
- Image and Signal Denoising Methods
- Approximation Theory and Sequence Spaces
- Holomorphic and Operator Theory
- Advanced Algebra and Geometry
- Advanced Mathematical Physics Problems
- Digital Filter Design and Implementation
- Medical Imaging Techniques and Applications
- Mathematical Approximation and Integration
- Advanced Operator Algebra Research
- Differential Equations and Boundary Problems
- Mathematical Dynamics and Fractals
- Numerical methods in inverse problems
- Spectral Theory in Mathematical Physics
- Knowledge Societies in the 21st Century
- Higher Education Teaching and Evaluation
- Sparse and Compressive Sensing Techniques
- Optical measurement and interference techniques
- Seismic Imaging and Inversion Techniques
- Advanced Numerical Analysis Techniques
- Algebraic and Geometric Analysis
- Political Theory and Democracy
- Mathematical functions and polynomials
Universidad Autónoma de Madrid
2014-2024
Washington University in St. Louis
1984-2022
DePaul University
2022
University of Buenos Aires
2020
Institute of Astronomy and Space Physics
2020
Center for Scientific Research and Higher Education at Ensenada
2016
Universidad Autónoma de Nuevo León
2014
Duke Medical Center
1995
We just published a paper showing that the properties of shift invariant spaces, $\langle f\rangle$, generated by translates $\mathbb{Z}^n$ an $f$ in $L^2(\mathbb{R}^n)$ correspond to spaces $L^2(\mathbb{T}^n,p)$, wh
Abstract C. Herz introduced in [Hr] some new spaces to study properties of functions. An Interesting account, with many applications, particular cases the generalized is given [BS]. In this paper we first identify duals spaces. Then, characterize their intermediate when complex method interpolation for families Is used. Applications are that show bounded ness operators on
We study N-term approximation for general families of sequence spaces, establishing sharp versions Jackson and Bernstein inequalities. The spaces used are adapted to provide characterizations Triebel-Lizorkin Besov by means wavelet-like systems using dilation matrices, thus they include anisotropic smoothness. As an application, we characterize the when error is measured in first mentioned above.
We show that in a super-reflexive Banach space, the conditionality constants $k_N(\mathscr B)$ of quasi-greedy basis $\mathscr B$ grow at most like $O((\log N)^{1-\varepsilon})$ for some $0 < \varepsilon 1$. This extends results by third-named aut
Abstract It is well known that the compactly supported wavelets cannot belong to class . This also true for with exponential decay. We show one can construct in are “almost” of decay and, moreover, they band-limited. do this by showing we adapt construction Lemarié-Meyer [LM] found [BSW] so obtain band-limited, C ∞ -wavelets on R have subexponential decay, is, every 0 < ε 1, there exits > such Moreover, all its derivatives The proof constructive and uses Gevrey classes functions.
Given a lattice Λ in locally compact Abelian group G and measurable subset Ω with finite positive measure, then the set of characters associated dual form frame for L2(Ω) if only distinct translates by have almost empty intersections. Some consequences this results are well-known Fuglede theorem lattices, as well simple characterization frames modulates.
The main objective of this paper is to obtain an interpolation theorem for families operators acting on atomic H p spaces, 0 < 1.We prove that if <p </?, 1 and {Γ z }, G S"= {z C/0 Real 1}, analytic admissible family linear transformations such T J+ιv maps J into L 9 where -oo <y oo, with norm not exceeding Λ y , = 0, 1, then all Θ Γ, JΓ Z/ cA ι ~θAχ 1/r (1 -0)//?o + Θ/P\-