Finding duality for Riesz bases of exponentials on multi-tiles

Authors

Christina Frederick, New Jersey Institute of Technology
Kasso A. Okoudjou, Tufts University

Document Type

Article

Publication Date

3-1-2021

Abstract

It is known [6,14,19] that if Ω⊂R^d belongs to a class of k-tiling domains when translated by a lattice Λ, there exists a Riesz basis of exponentials for L²(Ω) constructed using k translates of the dual lattice Λ^⁎. In this paper, we give an explicit construction of the corresponding biorthogonal dual Riesz basis. We also extend the iterative reconstruction algorithm introduced in [11] to this setting.

Identifier

85096208860 (Scopus)

Publication Title

Applied and Computational Harmonic Analysis

External Full Text Location

https://doi.org/10.1016/j.acha.2020.10.006

e-ISSN

1096603X

ISSN

10635203

First Page

104

Last Page

117

Volume

51

Grant

DMS-1720306

Fund Ref

National Science Foundation

Recommended Citation

Frederick, Christina and Okoudjou, Kasso A., "Finding duality for Riesz bases of exponentials on multi-tiles" (2021). Faculty Publications. 4268.
https://digitalcommons.njit.edu/fac_pubs/4268