Topics in Harmonic Analysis on Combinatorial Graphs

In recent years harmonic analysis on combinatorial graphs has attracted considerable attention. The interest is stimulated in part by multiple existing and potential applications of analysis on graphs to information theory, signal analysis, image processing, computer sciences, learning theory, and astronomy. My thesis is devoted to sampling, interpolation, approximation, and multi-resolution on graphs. The results in the existing literature concern mainly with these theories on unweighted graphs. My main objective is to extend existing theories and obtain new results about sampling, interpolation, approximation, and multi-resolution on general combinatorial graphs such as directed, undirected and weighted.

Grantor dc:publisher

Temple University. Libraries

Year dc:date.issued

2014

Author dc:creator

• Gidelew, Getnet Abebe

Advisor dc:contributor.advisor

• Pesenson, I. Z. (Isaak Zalmanovich)

Committee members dc:contributor.committeemember

• Berhanu, Shiferaw
• Mendoza, Gerardo A.
• Nowak, Krzysztof G.

• Mathematics
• Average Sampling On Graphs
• Harmonic Analysis On Graphs
• Multi-resolution On Graphs
• Quadratures On Graphs
• Sampling On Graphs
• Signal Approximation On Graphs

Statement dc:rights

• IN COPYRIGHT- This Rights Statement can be used for an Item that is in copyright. Using this statement implies that the organization making this Item available has determined that the Item is in copyright and either is the rights-holder, has obtained permission from the rights-holder(s) to make their Work(s) available, or makes the Item available under an exception or limitation to copyright (including Fair Use) that entitles it to make the Item available.

Licence dc:rights.uri

• http://rightsstatements.org/vocab/InC/1.0/

Language dc:language.iso

eng

Dc Identifier Other

890207819

OAI identifier oai:identifier

oai:scholarshare.temple.edu:20.500.12613/2914