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math.CA2009★ 1 cited
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…
math.CA2009
From exact systems to Riesz bases in the Balian-Low theorem
Shahaf Nitzan, Jan-Fredrik Olsen
We look at the time-frequency localisation of generators of lattice Gabor systems. For a generator of a Riesz basis, this localisation is described by the classical Balian-Low theo…