https://nova.newcastle.edu.au/vital/access/ /manager/Index en-au 5 https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:13072 ∞₀ ⁿ∏_k=0 ^sin(akx)―_akxdx. We then give quite striking closed form evaluations of such integrals and finish by discussing various extensions and applications.]]> Sat 24 Mar 2018 08:15:38 AEDT ]]> https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:13069 Sat 24 Mar 2018 08:15:36 AEDT ]]> https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:27860 Sat 24 Mar 2018 07:41:10 AEDT ]]> https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:26389 Ω of square-integrable functions bandlimited to [-Ω/2, Ω/2] generated by translates φ_n (t - αℓ) of prolate spheroidal wave-functions φ_n (where α > 0 and ℓ is an integer). We estimate frame bounds and give a Fourier construction of the dual frames. An ℓ² estimate on the decay of uniform samples of prolate functions is given to show that the computation of the duals can be done efficiently.]]> Sat 24 Mar 2018 07:33:06 AEDT ]]> https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:22702 Sat 24 Mar 2018 07:15:26 AEDT ]]> https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:32357 PW_Ω which is generated by the shifts of prolate spheroidal wave functions, we generate frames (reps. Riesz bases) for the bandpass space, and show that the frame (resp. Riesz) bounds are the same as those of the baseband frame (resp. Riesz basis).]]> Mon 28 May 2018 09:41:01 AEST ]]> https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:32356 Mon 28 May 2018 09:41:01 AEST ]]>