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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…
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…
On construction of bounded sets not admitting a general type of Riesz spectrum
Dae Gwan Lee
Despite the recent advances in the theory of exponential Riesz bases, it is yet unknown whether there exists a set which does not admit a Riesz spectrum, m…
Time-frequency shift invariance of Gabor spaces generated by integer lattices
Carlos Cabrelli, Dae Gwan Lee, Ursula Molter +1
We study extra time-frequency shift invariance properties of Gabor spaces. For a Gabor space generated by an integer lattice, we state and prove several characterizations for its t…