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- 2A Portrait of the Artist as a Young Man
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- 3Graduate and Postdoctoral Studies (GPS), Faculty of /Theses and Dissertations
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- 2Histories of Humanities Computing/Histories of Humanities Computing
- 1Mathematical and Statistical Sciences, Department of
- 1Mathematical and Statistical Sciences, Department of/Research Publications (Mathematical and Statistical Sciences)
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Estimates of the maximal Cesaro operators of the weighted orthogonal polynomial expansions in several variables
DownloadFall 2013
Estimates of the maximal Cesaro means at the "critical index'' are established for the orthogonal polynomial expansions (OPEs) with respect to the weight function on the unit sphere. These estimates allow us to improve several known results in this area, including the almost everywhere (a.e.)...
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Fall 2016
The thesis consists of two closely related parts: (i) Cesaro summability of the spherical h-harmonic expansions on the unit sphere, and (ii) Bochner-Riesz summability of the inverse Dunkl transforms on d-dimensional real space, both being studied with respect to the weight that is invariant under...
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John B. Smith Archive - Complete
1966-2011
The complete bundle of the works of John B. Smith, covering the period of 1966 through 2011 as represented by Dr. Smith on his archive website at http://www.cs.unc.edu/Research/jbsArchive/ All files have been provided by Dr. Smith from his personal collection. Over the course of his academic...
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John B. Smith Archive - Periods and Themes Bundle 2 (1970-1984)
1970-1985
A bundle of the works of John B. Smith corresponding to the period of 1970-1984, provided by John B. Smith from his personal collection. In this period, Smith had a joint appointment at Penn State University in the English department and Computation Center. His instructional duties were a blend...
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2005
Herein, we analyze an efficient branching particle method for asymptotic solutions to a class of continuous-discrete filtering problems. Suppose that t→Xt is a Markov process and we wish to calculate the measure-valued process t→μt(⋅)≐P{Xt∈⋅|σ{Ytk, tk≤t}}, where tk=kɛ and Ytk is a distorted,...