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On optimal wavelet reconstructions from Fourier samples: linearity…
www.damtp.cam.ac.uk/research/afha/anders/OptimalWaveletRecons_July2013.pdf5 Oct 2013: Thiswas later considered by Eldar et al, who extended this framework to frames in arbitrary Hilbert spaces[18, 19, 20, 24]. ... M2 =. C(γ)M11. 2. (24). Proof. Without loss of generality, in this proof, M1 and M2 will be even. -
From orthogonal polynomials on the unit circle to functional ...
www.damtp.cam.ac.uk/user/na/NA_papers/NA2013_06.pdf27 Jun 2013: 2. 24. We now let s in (3.22),. lims. χs+ = lims. ... φm(z) =. mj=0. (1)mj[mj. ]q. q12 (mj)zj, m Z+. (3.24). Setting α = q1/2 presents absolutely no problems in our analysis, since q = |α|2, isconsistent -
Generalized sampling and the stable and accuratereconstruction of…
www.damtp.cam.ac.uk/research/afha/people/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). -
Stable reconstructions in Hilbert spaces and the resolutionof the ...
www.damtp.cam.ac.uk/research/afha/anders/Adcock_Hansen2.pdf5 Oct 2013: Stable reconstructions in Hilbert spaces and the resolutionof the Gibbs phenomenon. Ben AdcockDepartment of Mathematics. Simon Fraser UniversityBurnaby, BC V5A 1S6. Canada. Anders C. HansenDAMTP, Centre for Mathematical Sciences. University of -
Generalized Sampling: Extension to Frames and Inverse andIll-Posed…
www.damtp.cam.ac.uk/research/afha/people/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. -
On optimal wavelet reconstructions from Fourier samples: linearity…
www.damtp.cam.ac.uk/research/afha/people/anders/OptimalWaveletRecons_July2013.pdf5 Oct 2013: Thiswas later considered by Eldar et al, who extended this framework to frames in arbitrary Hilbert spaces[18, 19, 20, 24]. ... M2 =. C(γ)M11. 2. (24). Proof. Without loss of generality, in this proof, M1 and M2 will be even. -
Stable reconstructions in Hilbert spaces and the resolutionof the ...
www.damtp.cam.ac.uk/research/afha/people/anders/Adcock_Hansen2.pdf5 Oct 2013: Stable reconstructions in Hilbert spaces and the resolutionof the Gibbs phenomenon. Ben AdcockDepartment of Mathematics. Simon Fraser UniversityBurnaby, BC V5A 1S6. Canada. Anders C. HansenDAMTP, Centre for Mathematical Sciences. University of -
A Theoretical Framework for Backward Error Analysis on Manifolds ...
www.damtp.cam.ac.uk/research/afha/anders/Hansen_Final_JGM_Preprint.pdf5 Oct 2013: A Theoretical Framework for Backward Error Analysis. on Manifolds. Anders C. HansenDAMTP, Centre for Mathematical Sciences. University of CambridgeWilberforce Rd, Cambridge CB3 0WA. United Kingdom. Abstract. Backward Error Analysis (BEA) has been a -
A Theoretical Framework for Backward Error Analysis on Manifolds ...
www.damtp.cam.ac.uk/research/afha/people/anders/Hansen_Final_JGM_Preprint.pdf5 Oct 2013: A Theoretical Framework for Backward Error Analysis. on Manifolds. Anders C. HansenDAMTP, Centre for Mathematical Sciences. University of CambridgeWilberforce Rd, Cambridge CB3 0WA. United Kingdom. Abstract. Backward Error Analysis (BEA) has been a
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