Irregular sampling in shift-invariant spaces

dc.contributor	Graduate Program in Mathematics.
dc.contributor.advisor	Eden, Alp,
dc.contributor.author	Özkaya, Sadık Görkem.
dc.date.accessioned	2023-03-16T11:21:45Z
dc.date.available	2023-03-16T11:21:45Z
dc.date.issued	2006.
dc.description.abstract	This thesis is an exposition of the concept of localization of frames in the problem of irregular sampling in shift-invariant spaces. The given definition of the localization of a frame will appear to be equivalent to an off-diagonal decay of the matrix corre sponding to the frame operator. The proofs of some inverse-closedness theorems of certain classes of matrices having an off-diagonal decay will be given. These theorems imply the localization of the dual frame. Under these localization conditions, the Hilbert space theory can be extended to the family of associated Banach spaces. If the generator of a shift-invariant space satisfies necessary decay conditions, then it will be seen that its reproducing kernel frame will be a localized frame, and the theory will be applicable.
dc.format.extent	30cm.
dc.format.pages	x, 73 leaves;
dc.identifier.other	MATH 2006 O85
dc.identifier.uri	https://digitalarchive.library.bogazici.edu.tr/handle/123456789/15306
dc.publisher	Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2006.
dc.relation	Includes appendices.
dc.relation	Includes appendices.
dc.subject.lcsh	Banach spaces.
dc.title	Irregular sampling in shift-invariant spaces

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