dc.contributor.author |
Wade, Jeremy, 1981- |
|
dc.date.accessioned |
2010-03-10T00:12:17Z |
|
dc.date.available |
2010-03-10T00:12:17Z |
|
dc.date.issued |
2009-06 |
|
dc.identifier.uri |
http://hdl.handle.net/1794/10245 |
|
dc.description |
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. |
en_US |
dc.description.abstract |
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 ) λ-1/2 , 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. |
en_US |
dc.description.sponsorship |
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 |
dc.language.iso |
en_US |
en_US |
dc.publisher |
University of Oregon |
en_US |
dc.relation.ispartofseries |
University of Oregon theses, Dept. of Mathematics, Ph. D., 2009; |
|
dc.subject |
Fourier orthogonal expansions |
en_US |
dc.subject |
Radon projections |
en_US |
dc.subject |
Cylindrical functions |
en_US |
dc.subject |
Cartesian products |
en_US |
dc.subject |
Mathematics |
en_US |
dc.title |
Summability of Fourier orthogonal expansions and a discretized Fourier orthogonal expansion involving radon projections for functions on the cylinder |
en_US |
dc.type |
Thesis |
en_US |