Combining Riesz bases in $R^d$
Classical Analysis and ODEs
2015-06-23 v1
Abstract
We prove that every finite union of rectangles in Rd admits a Riesz basis of exponentials.
Cite
@article{arxiv.1501.05257,
title = {Combining Riesz bases in $R^d$},
author = {Gady Kozma and Shahaf Nitzan},
journal= {arXiv preprint arXiv:1501.05257},
year = {2015}
}
Comments
14 pages
Related papers
View all related →
Classical Analysis and ODEs · Mathematics
Combining Riesz bases
Gady Kozma, Shahaf Nitzan
2014-04-16
Functional Analysis · Mathematics
Riesz basis of exponentials for a union of cubes in R^{d}
Jordi Marzo
2007-05-23
Classical Analysis and ODEs · Mathematics
Riesz bases of exponentials for convex polytopes with symmetric faces
Alberto Debernardi, Nir Lev
2023-11-30
Classical Analysis and ODEs · Mathematics
Multi-tiling and Riesz bases
Sigrid Grepstad, Nir Lev
2013-11-21
Functional Analysis · Mathematics
Exponential bases on multi-rectangles in $\mathbb{R}^d$
Laura De Carli
2016-09-06
Classical Analysis and ODEs · Mathematics
Riesz Bases of Exponentials on Unbounded Multi-tiles
Carlos Cabrelli, Diana Carbajal
2017-10-12
Functional Analysis · Mathematics
Exponential bases on two dimensional trapezoids
Laura De Carli, Anudeep Kumar
2013-06-20
Classical Analysis and ODEs · Mathematics
Exponential Riesz bases in non-Archimedean locally compact Abelian groups
Aihua Fan, Shilei Fan
2025-05-30
Classical Analysis and ODEs · Mathematics
Riesz bases of exponentials and the Bohr topology
Carlos Cabrelli, Kathryn Hare, Ursula Molter
2020-02-03
Functional Analysis · Mathematics
Exponential Riesz bases of subspaces and divided differences
S. A. Avdonin, S. A. Ivanov
2007-05-23
Classical Analysis and ODEs · Mathematics
Multiple lattice tiles and Riesz bases of exponentials
Mihail N. Kolountzakis
2013-05-14
Classical Analysis and ODEs · Mathematics
Exponential Riesz bases in $L^2$ on two interval
Yurii Belov, Mikhail Mironov
2025-12-02
Functional Analysis · Mathematics
Exponential bases for partitions of intervals
Goetz Pfander, Shauna Revay, David Walnut
2021-09-10
Functional Analysis · Mathematics
Riesz bases in quaternionic Hilbert spaces
S. K. Sharma, Virender, S. K. Kaushik
2019-09-17
Classical Analysis and ODEs · Mathematics
Riesz bases, Meyer's quasicrystals, and bounded remainder sets
Sigrid Grepstad, Nir Lev
2016-12-19
Classical Analysis and ODEs · Mathematics
Bases of complex exponentials with restricted supports
Dae Gwan Lee, Goetz E. Pfander, David Walnut
2022-10-13
Functional Analysis · Mathematics
Examples of exponential bases on Union of intervals
Oleg Asipchuk, Vladyslav Drezels
2024-12-13
Functional Analysis · Mathematics
Three problems on exponential bases
Laura De Carli, Alberto Mizrahi, Alexander Tepper
2019-08-15
Functional Analysis · Mathematics
Riesz bases of exponentials for multi-tiling measures
Chun-Kit Lai, Alexander Sheynis
2023-09-27
Functional Analysis · Mathematics
Spectral properties of some unions of linear spaces
Chun-Kit Lai, Bochen Liu, Hal Prince
2020-05-29
Analysis of PDEs · Mathematics
The fractional Riesz transform and an exponential potential
Benjamin Jaye, Fedor Nazarov, Alexander Volberg
2012-10-10
Functional Analysis · Mathematics
Riesz bases from orthonormal bases by replacement
Laura De Carli, Julian Edward
2018-05-01
Functional Analysis · Mathematics
Positive Polynomials on Riesz Spaces
James Cruickshank, John Loane, Raymond A. Ryan
2016-07-22
Functional Analysis · Mathematics
Bidual extensions of Riesz multimorphisms
Geraldo Botelho, Luis Alberto Garcia
2021-08-25
Combinatorics · Mathematics
Riesz bases of exponentials and multi-tiling in finite abelian groups
Sam Ferguson, Azita Mayeli, Nat Sothanaphan
2021-01-20