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Showing 1 to 3 of 3 for “"Meromorphic continuation"”.
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On Colin de Verdière's Proof of the Meromorphic Continuation of Eisenstein Series
… of Colin de Verdière's eventual proof of the meromorphic continuation of Eisenstein series. We consider the importance of this result as it relates to ideas relating to the Riemann hypothesis and offer a timeline of other results that influenced this eventual proof.
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Higher Dimensional Adeles, Mean-Periodicity and Zeta Functions of Arithmetic Surfaces
… focus primarily on the most basic amongst them - meromorphic continuation and functional equation. Our weapon of choice is the so-called “mean-periodicity correspondence”, which provides a passage between nicely behaved arithmetic schemes and mean-periodic functions in certain functional spaces. …
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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 …