DOI: 10.3390/math14213917 ISSN: 2227-7390

Characterization of Structured Exponential Systems

Dae Gwan Lee

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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