17 citations · 29 across the 16 of their papers we have counts for
7 papers · 1 filter
Balian-Low type theorems in finite dimensions
Shahaf Nitzan, Jan-Fredrik Olsen
We formulate and prove finite dimensional analogs for the classical Balian-Low theorem, and for a quantitative Balian-Low type theorem that, in the case of the real line, we obtain…
Endpoint estimates for compact Calderón-Zygmund operators
Jan-Fredrik Olsen, Paco Villarroya
We prove necessary and sufficient conditions for a Calderón-Zygmund operator to be compact at the endpoint from into .
Zeros of random functions generated with de Branges kernels
Jorge Antezana, Jordi Marzo, Jan-Fredrik Olsen
We study the point process given by the set of real zeros of random sums of orthonormal bases of reproducing kernels of de Branges spaces. Examples of these kernels are the cardina…
A quantitative Balian-Low theorem
Shahaf Nitzan, Jan-Fredrik Olsen
We study functions generating Gabor Riesz bases on the integer lattice. The classical Balian-Low theorem restricts the simultaneous time and frequency localization of such function…
Sampling and interpolation in de Branges spaces with doubling phase
Jordi Marzo, Shahaf Nitzan, Jan-Fredrik Olsen
The de Branges spaces of entire functions generalise the classical Paley-Wiener space of square summable bandlimited functions. Specifically, the square norm is computed on the rea…
Modified zeta functions as kernels of integral operators
Jan-Fredrik Olsen
The modified zeta functions , where , converge absolutely for . These generalise the Riemann zeta function which is known to have…