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

<p>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.</p>

Name thesis:degree_name

MS (Master of Science)

Level thesis:degree_level

Thesis - unrestricted

Discipline thesis:degree_discipline

Mathematical Sciences

Year dc:date.issued

2005

Author dc:creator

• Teguia, Alberto Mokak

• Meromorphic continuation
• Inverse frame operator
• Elliptic Operators
• Cayley-Hamilton Theorem
• Zeta function
• Applied Mathematics
• Physical Sciences and Mathematics

Statement dc:rights

• Copyright by the authors.

Repository record dc:identifier

https://dc.etsu.edu/etd/1024

OAI identifier oai:identifier

oai:dc.etsu.edu:etd-2181