Characterization of Structured Exponential Systems

We provide characterizations for when an exponential system with a structured spectrum forms a frame, a Riesz sequence, a Riesz basis, or an orthogonal basis on unions of translated domains. These characterizations are expressed in terms of the mapping properties of an associated matrix, with periodic spectra included as a special case.

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Publication Details

Journal
Mathematics
Published
2026-10-27
DOI
https://doi.org/10.3390/math14213917
Primary Topic
Mathematical Analysis and Transform Methods
Type
article
Field-Weighted Citation Impact
0.00

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article

Characterization of Structured Exponential Systems

Dae Gwan Lee
Mathematics
Mathematical Analysis and Transform Methods
article

Characterization of Structured Exponential Systems

Dae Gwan Lee
article en

Abstract

We provide characterizations for when an exponential system with a structured spectrum forms a frame, a Riesz sequence, a Riesz basis, or an orthogonal basis on unions of translated domains. These characterizations are expressed in terms of the mapping properties of an associated matrix, with periodic spectra included as a special case.

MathematicsVol. 14(21)
Pukyong National University (KR)
Pukyong National University
Openalex Percentile: Top 7%
Mathematical Analysis and Transform Methods
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Characterization of Structured Exponential Systems — Dae Gwan Lee · Mathematics (2026) | TGRS Research Map | TGRS