The mathematics of interpolation and sampling

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dc.creatorSmith, Jennifer K
dc.date.accessioned2016-11-14T23:07:53Z
dc.date.available2011-02-18T22:35:25Z
dc.date.available2016-11-14T23:07:53Z
dc.date.issued1986-08
dc.degree.departmentMathematicsen_US
dc.description.abstractIn this thesis, continuous time, autonomous, observable dynamical systems are studied. The main problem considered is whether sampling at discrete times preserves observability. The discrete observability problem is shown to be equivalent to the general theory of linear interpolation. The mathematical theory used in this paper is Polya's property W which is used to produce several new results. In addition, the problem of discrete sampling is also interpreted as an n-point boundary value problem and as a problem of independence in the dual space.
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://hdl.handle.net/2346/18499en_US
dc.language.isoeng
dc.publisherTexas Tech Universityen_US
dc.rights.availabilityUnrestricted.
dc.subjectBoundary value problemsen_US
dc.subjectInterpolationen_US
dc.subjectDiscrete-time systemsen_US
dc.titleThe mathematics of interpolation and sampling
dc.typeThesis

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