AuthorGidelew, Getnet Abebe
AdvisorPesenson, I. Z. (Isaak Zalmanovich)
Committee memberBerhanu, Shiferaw
Mendoza, Gerardo A.
Nowak, Krzysztof G.
Average Sampling On Graphs
Harmonic Analysis On Graphs
Multi-resolution On Graphs
Quadratures On Graphs
Sampling On Graphs
Signal Approximation On Graphs
Permanent link to this recordhttp://hdl.handle.net/20.500.12613/2914
MetadataShow full item record
AbstractIn 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.
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