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Spectral theory of Herglotz functions and their compositions, and the Schrödinger equation

Christodoulides, Yiannis Takis

Authors

Yiannis Takis Christodoulides



Contributors

Pearson, D. B.
Supervisor

Abstract

In this thesis we generalize the theory of value distribution associated to a Herglotz function. Compositions of Herglotz functions are studied, and some results regarding the integral representation of a composed Herglotz function are obtained. Properties of spectral measures corresponding to Herglotz functions are derived, and an application to the Schrödinger equation is given.

Citation

Christodoulides, Y. T. (2001). Spectral theory of Herglotz functions and their compositions, and the Schrödinger equation. (Thesis). University of Hull. Retrieved from https://hull-repository.worktribe.com/output/4227168

Thesis Type Thesis
Deposit Date Apr 3, 2012
Publicly Available Date Mar 2, 2023
Keywords Mathematics
Public URL https://hull-repository.worktribe.com/output/4227168
Additional Information Department of Mathematics, The University of Hull
Award Date Sep 1, 2001

Files

Thesis (6.8 Mb)
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Copyright Statement
© 2001 Yiannis Takis Christodoulides. All rights reserved. No part of this publication may be reproduced without the written permission of the copyright holder.




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