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math.CA2022
Some unexpected behaviors of operators with small time-frequency dispersion
Dae Gwan Lee
We study the approximation properties of pseudo-differential operators with small time-frequency dispersion, meaning that their spreading functions are supported in a small neighbo…
math.CA2022
Bases of complex exponentials with restricted supports
Dae Gwan Lee, Goetz E. Pfander, David Walnut
The complex exponentials with integer frequencies form a basis for the space of square integrable functions on the unit interval. We analyze whether the basis property is maintaine…
math.CA2022
Unions of exponential Riesz bases
Dae Gwan Lee
We develop new methods for constructing exponential Riesz bases by taking unions of exponential Riesz bases. These methods are based on taking unions of frequency sets and domains…