Zobrazeno 1 - 10
of 41
pro vyhledávání: '"Azita Mayeli"'
Autor:
Alex Iosevich, Azita Mayeli
Publikováno v:
Discrete Analysis (2018)
Gabor orthogonal bases and convexity, Discrete Analysis 2018:19, 11 pp. A fundamental way of understanding a function $f$ defined on $\mathbb R^d$ is to expand it in terms of a basis with nice properties. Typically, one assumes that $f\in L_2(\mathb
Externí odkaz:
https://doaj.org/article/d73d7e89887245ada0e355c1cdfd9c51
Autor:
Hartmut Führ, Azita Mayeli
Publikováno v:
Journal of Function Spaces and Applications, Vol 2012 (2012)
We establish wavelet characterizations of homogeneous Besov spaces on stratified Lie groups, both in terms of continuous and discrete wavelet systems. We first introduce a notion of homogeneous Besov space B˙p,qs in terms of a Littlewood-Paley-type
Externí odkaz:
https://doaj.org/article/f5e83341c1cf4cc4902c00e95c8cc7d2
Autor:
Azita Mayeli, Christina Frederick
Publikováno v:
Journal of Fourier Analysis and Applications. 27
Given a domain $$\varOmega \subset {\mathbb {R}}^d$$ with positive and finite Lebesgue measure and a discrete set $$\varLambda \subset {\mathbb {R}}^d$$ , we say that $$(\varOmega , \varLambda )$$ is a frame spectral pair if the set of exponential fu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c55d4ddc578bdc4ccb233e664c66a3a4
https://doi.org/10.1007/s00041-021-09872-9
https://doi.org/10.1007/s00041-021-09872-9
Autor:
Azita Mayeli
Publikováno v:
Canadian Mathematical Bulletin. 63:726-737
In this paper, we introduce a class of nonsmooth nonconvex optimization problems, and we propose to use a local iterative minimization-majorization (MM) algorithm to find an optimal solution for the optimization problem. The cost functions in our opt
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::81e6fc3bd2a3a502b0dd1448a0b5472f
https://doi.org/10.4153/s0008439519000730
https://doi.org/10.4153/s0008439519000730
Publikováno v:
Applied and Computational Harmonic Analysis. 46:192-205
Let $q\geq 2$ be an integer, and $\Bbb F_q^d$, $d\geq 1$, be the vector space over the cyclic space $\Bbb F_q$. The purpose of this paper is two-fold. First, we obtain sufficient conditions on $E \subset \Bbb F_q^d$ such that the inverse Fourier tran
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7affc581942cc1130aef33f2d7b13a88
https://doi.org/10.1016/j.acha.2017.10.005
https://doi.org/10.1016/j.acha.2017.10.005
Autor:
Azita Mayeli
Publikováno v:
Complex Analysis and Operator Theory. 13:1177-1195
This paper is devoted to the study of geometry properties of wavelet and Riesz wavelet sets on locally compact abelian groups. The catalyst for our research is a result by Wang ([32], Theorem 1.1) in the Euclidean wavelet theory. Here, we extend the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a8de7059dd78dcac010ec7e98c0a859c
https://doi.org/10.1007/s11785-018-0843-0
https://doi.org/10.1007/s11785-018-0843-0
Publikováno v:
Analysis & PDE. 10:757-764
In this paper we study subsets E of ℤpd such that any function f : E → ℂ can be written as a linear combination of characters orthogonal with respect to E. We shall refer to such sets as spectral. In this context, we prove the Fuglede conjectur
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ab8bfd2ca1db98f69bcdb5e5fcd7d55d
https://doi.org/10.2140/apde.2017.10.757
https://doi.org/10.2140/apde.2017.10.757
Publikováno v:
Biblos-e Archivo. Repositorio Institucional de la UAM
instname
Applied and Computational Harmonic Analysis
instname
Applied and Computational Harmonic Analysis
We prove sharp upper and lower bounds for generalized Calderón's sums associated to frames on LCA groups generated by affine actions of cocompact subgroup translations and general measurable families of automorphisms. The proof makes use of techniqu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fee584fb71c8dd2c1f1c5aa4075f9961
http://hdl.handle.net/10486/700634
http://hdl.handle.net/10486/700634
Autor:
Azita Mayeli
Publikováno v:
Proceedings of the American Mathematical Society. 144:1021-1028
We apply spectral theoretic methods to obtain a Littlewood-Paley decomposition of abstract inhomogeneous Besov spaces in terms of "smooth" and "bandlimited" functions. Well-known decompositions in several contexts are as special examples and are unif
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e0777634a0707855941446abc6537b9f
https://doi.org/10.1090/proc/12485
https://doi.org/10.1090/proc/12485
Autor:
Azita Mayeli, Alex Iosevich
Publikováno v:
Journal of Functional Analysis. 268:363-375
We investigate the connection between translation bases for Paley–Wiener spaces and exponential Fourier bases for a domain. We apply these results to the characterization of vector-valued time–frequency translations of a Paley–Wiener “window
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3f429550ac5c9bfbcefdc5fb0a5d0d74
https://doi.org/10.1016/j.jfa.2014.10.006
https://doi.org/10.1016/j.jfa.2014.10.006