2 citations · 6 across the 9 of their papers we have counts for
12 papers
Principal minors of Fourier matrices of square-free order
Andrei Caragea, Dae Gwan Lee, Romanos Malikiosis +1
Chebotarev's theorem on roots of unity states that all minors of a Fourier matrix are non-zero if and only if the order of the matrix is prime. We establish cases in which all prin…
Cube tilings with linear constraints
Dae Gwan Lee, Goetz E. Pfander, David Walnut
We consider tilings of where is the -dimensional unit cube and the set of translations is constrained to lie in a pre-determin…
Exponential bases for parallelepipeds with frequencies lying in a prescribed lattice
Dae Gwan Lee, Goetz E. Pfander, David Walnut
The existence of a Fourier basis with frequencies in for the space of square integrable functions supported on a given parallelepiped in , has been wel…
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…
Exponential bases for partitions of intervals
Goetz Pfander, Shauna Revay, David Walnut
For a partition of into intervals we prove the existence of a partition of into such that the complex exponential functions…
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…