Reproducing Kernels in Time Series Analysis
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In this thesis, we provide a review of the theory of reproducing kernels in Hilbert spaces, and a brief survey of its applications in the study of analytic function spaces and in time series analysis. The principal aim of this thesis is to provide a theoretical basis for time series analysis that is independent of the commonly employed stationary hypothesis.
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Copyright © 2016 the author(s). Theses may be used for non-commercial research, educational, or related academic purposes only. Such uses include personal study, research, scholarship, and teaching. Theses may only be shared by linking to Carleton University Institutional Repository and no part may be used without proper attribution to the author. No part may be used for commercial purposes directly or indirectly via a for-profit platform; no adaptation or derivative works are permitted without consent from the copyright owner.
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- 2016
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