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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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Spelling suggestions: "subject:"inverse frame operator"" "subject:"lnverse frame operator""

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Extensions of the Cayley-Hamilton Theorem with Applications to Elliptic Operators and Frames.

Teguia, Alberto Mokak 16 August 2005 (has links) (PDF)
The Cayley-Hamilton Theorem is an important result in the study of linear transformations over finite dimensional vector spaces. In this thesis, we show that the Cayley-Hamilton Theorem can be extended to self-adjoint trace-class operators and to closed self-adjoint operators with trace-class resolvent over a separable Hilbert space. Applications of these results include calculating operators resolvents and finding the inverse of a frame operator.
Meromorphic continuation
Inverse frame operator
Elliptic Operators
Cayley-Hamilton Theorem
Zeta function
Applied Mathematics
Physical Sciences and Mathematics

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