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A stability barrier for reconstructions from Fourier samples Ben ...
www.damtp.cam.ac.uk/research/afha/people/anders/AdcockHansenShadrin.pdf5 Oct 2013: xm} is a grid of mequispaced points in [1, 1]. In [24] it was shown that. ... Proc. SPIE, 7535, 2010. [24] D. Coppersmith and T. Rivlin. The growth of polynomials bounded at equally spaced points. -
Differential equations with general highly oscillatory forcing terms…
www.damtp.cam.ac.uk/user/na/NA_papers/NA2013_07.pdf19 Jul 2013: Dynamical Sys. 28, 1345–1367. 24. Deaño, A. & Huybrechs, D. (2009), ‘Complex Gaussian quadrature of oscillatory in-tegrals’, Numer. -
On the approximation of spectra of linear operatorson Hilbert ...
www.damtp.cam.ac.uk/research/afha/anders/JFA_Final.pdf5 Oct 2013: The second inclusion follows by Theorem VIII.24 ([RS72], p. 290)if we can show that PnAPn A in the strong resolvent sense. ... 11. Proof. Now, (i) follows from the fact that A1,n A strongly (see Theorem VIII.24 in [RS72],p. -
Beyond consistent reconstructions: optimality and sharp bounds for…
www.damtp.cam.ac.uk/research/afha/anders/OptimalityFinal.pdf5 Oct 2013: 3 Consistent reconstructions and oblique projections. We now consider the consistent sampling technique of [24, 25, 29, 56, 58]. ... An analysis of consistent reconstructions, which we shall recap and extend in 3.3, was given in[24, 25, 29]. -
A Generalized Sampling Theorem for StableReconstructions in Arbitrary …
www.damtp.cam.ac.uk/research/afha/anders/Adcock_Hansen1.pdf5 Oct 2013: The well known NS-Sampling Theorem [24, 26, 29, 30, 34] states that if. -
On the approximation of spectra of linear operatorson Hilbert ...
www.damtp.cam.ac.uk/research/afha/people/anders/JFA_Final.pdf5 Oct 2013: The second inclusion follows by Theorem VIII.24 ([RS72], p. 290)if we can show that PnAPn A in the strong resolvent sense. ... 11. Proof. Now, (i) follows from the fact that A1,n A strongly (see Theorem VIII.24 in [RS72],p. -
Beyond consistent reconstructions: optimality and sharp bounds for…
www.damtp.cam.ac.uk/research/afha/people/anders/OptimalityFinal.pdf5 Oct 2013: 3 Consistent reconstructions and oblique projections. We now consider the consistent sampling technique of [24, 25, 29, 56, 58]. ... An analysis of consistent reconstructions, which we shall recap and extend in 3.3, was given in[24, 25, 29]. -
A Generalized Sampling Theorem for StableReconstructions in Arbitrary …
www.damtp.cam.ac.uk/research/afha/people/anders/Adcock_Hansen1.pdf5 Oct 2013: The well known NS-Sampling Theorem [24, 26, 29, 30, 34] states that if. -
Generalized sampling and the stable and accuratereconstruction of…
www.damtp.cam.ac.uk/research/afha/anders/BAACHSpecData.pdf5 Oct 2013: The problem is not new, and therehave been many different approaches developed for its solution (see, for example, [2, 11, 12, 17, 18, 22,23, 24, 25, 52] and references therein). -
Generalized Sampling: Extension to Frames and Inverse andIll-Posed…
www.damtp.cam.ac.uk/research/afha/anders/manuscript_BenAndersEvelynGerd_final.pdf5 Oct 2013: Indeed, one typically requiresan intolerably large number of samples m to recover f to any reasonably accuracy [13, 24]. ... 24]. Note in the case above that f has only m nonzerocoefficients in the basis {wj}jN.
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