Browsing Mathematics Theses and Dissertations by Author "Wade, Jeremy, 1981"
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Wade, Jeremy, 1981 (University of Oregon, June , 2009)[more][less]Wade, Jeremy, 1981 20100310T00:12:17Z 20100310T00:12:17Z 200906 http://hdl.handle.net/1794/10245 vii, 99 p. A print copy of this thesis is available through the UO Libraries. Search the library catalog for the location and call number. We investigate Cesàro summability of the Fourier orthogonal expansion of functions on B d × I m , where B d is the closed unit ball in [Special characters omitted] and I m is the m fold Cartesian product of the interval [1, 1], in terms of orthogonal polynomials with respect to the weight functions (1  z ) α (1 + z ) β (1  x 2 ) λ1/2 , with z ∈ I m and x ∈ B d . In addition, we study a discretized Fourier orthogonal expansion on the cylinder B 2 × [1, 1], which uses a finite number of Radon projections. The Lebesgue constant of this operator is obtained, and the proof utilizes generating functions for associated orthogonal series. Committee in charge: Yuan Xu, Chairperson, Mathematics; Huaxin Lin, Member, Mathematics Jonathan Brundan, Member, Mathematics; Marcin Bownik, Member, Mathematics; Jun Li, Outside Member, Computer & Information Science en_US University of Oregon University of Oregon theses, Dept. of Mathematics, Ph. D., 2009; Fourier orthogonal expansions Radon projections Cylindrical functions Cartesian products Mathematics Summability of Fourier orthogonal expansions and a discretized Fourier orthogonal expansion involving radon projections for functions on the cylinder Thesis
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