Summability of Fourier orthogonal expansions and a discretized Fourier orthogonal expansion involving radon projections for functions on the cylinder

Simple item page
dc.contributor.authorWade, Jeremy, 1981-
dc.date.accessioned2010-03-10T00:12:17Z
dc.date.available2010-03-10T00:12:17Z
dc.date.issued2009-06
dc.descriptionvii, 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.abstractWe 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.sponsorshipCommittee in charge: Yuan Xu, Chairperson, Mathematics; Huaxin Lin, Member, Mathematics Jonathan Brundan, Member, Mathematics; Marcin Bownik, Member, Mathematics; Jun Li, Outside Member, Computer & Information Scienceen_US
dc.identifier.urihttps://hdl.handle.net/1794/10245
dc.language.isoen_USen_US
dc.publisherUniversity of Oregonen_US
dc.relation.ispartofseriesUniversity of Oregon theses, Dept. of Mathematics, Ph. D., 2009;
dc.subjectFourier orthogonal expansionsen_US
dc.subjectRadon projectionsen_US
dc.subjectCylindrical functionsen_US
dc.subjectCartesian productsen_US
dc.subjectMathematicsen_US
dc.titleSummability of Fourier orthogonal expansions and a discretized Fourier orthogonal expansion involving radon projections for functions on the cylinderen_US
dc.typeThesisen_US

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Wade_Jeremy_phd2009sp.pdf
Size:
1.31 MB
Format:
Adobe Portable Document Format
Description:
thesis
Download
License bundle
Now showing 1 - 2 of 2
Name:
license.txt
Size:
2.21 KB
Format:
Item-specific license agreed upon to submission
Description:
Download
Name:
Wade_Jeremy.pdf
Size:
27.54 KB
Format:
Adobe Portable Document Format
Description:
author's permission
Download

Collections

Theses and Dissertations
Mathematics Theses and Dissertations