Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 4 of 4 for “"orthonormal polynomials"”.
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Orthogonality and convergence of discrete Zernike polynomials
The Zernike polynomials are an infinite set of orthogonal polynomials over the unit disk, which are rotationally invariant. They are frequently utilized in optics, opthal- mology, and image recognition, among many other applications, to describe spherical aberrations and image features. …
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Optimal de-excitation patterns for RESOLFT-Microscopy
… microscope’s pupil function is decomposed into orthonormal polynomials which allows the restriction of the space of pupil functions so that boundary conditions are fulfilled. The chosen global optimization algorithm converges reasonably well to pupil functions that can be idealized further to …
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Random Sorting Networks, the Directed Landscape, and Random Polynomials
… The third part of this thesis concerns random polynomials. Let Gn = ∑ni=0 ξipi, where the ξi are i.i.d. non-degenerate complex random variables, and {pi} is a sequence of orthonormal polynomials with respect to a regular measure τ supported on a compact set K. We show that the zero measure of …
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Revisiting the CAPM and the Fama-French Multi-Factor Models: Modeling Volatility Dynamics in Financial Markets
The primary objective of this dissertation is to revisit the CAPM and the Fama-French multi-factor models with a view to evaluate the validity of the probabilistic assumptions imposed (directly or indirectly) on the particular data used. By thoroughly testing the assumptions underlying these …