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 7 of 7 for “"planar domain"”.
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Hardy Space Properties of the Cauchy Kernel Function for a Strictly Convex Planar Domain
… it is shown that for every strictly pseudoconvex domain $D$ of class $C^2$ in $\mathbb{C}^N$, the Henkin-Ram\'irez Kernel Function belongs to the Smirnov class, $E^q(D)$, for every $q\in(0,N)$.</p> <p>The main objective of this dissertation is to show an analogous result for the Cauchy Kernel …
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Schur-class of finitely connected planar domains: the test-function approach
… with positive real part on a finitely-connected planar domain 𝐑 normalized to have value equal to the identity matrix at some prescribed point t₀ ∈ 𝐑. This leads to an integral representation for such functions more general than what would be expected from the result for the scalar-valued case. …
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Random conformally covariant metrics in the plane
… where $h$ is a Gaussian free field (GFF) on a planar domain and $\gamma \in (0,2)$. Duplantier and Sheffield constructed the $\gamma$-LQG area and boundary length measures, which fall under the framework of Kahane's Gaussian multiplicative chaos. Later, a conformally covariant distance metric …
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Planar feasibility study for primary mirror control of large imaging space systems using binary actuators
… study, then in two-dimensional study for planar analysis. The analysis includes exploration of the workspace, demonstration of deterioration of superposition, and performance measured in precision of focus correction. In general, the number of actuators required for an acceptable level of …
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Hardy-space Function Theory on Finitely Connected Planar Domains
… series or Laurent series, for finitely-connected planar domains.
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On Gaussian multiplicative chaos and conformal field theory
… on paths joining two points on the boundary of a planar domain, therefore describing all possible scaling limits of interfaces of spin clusters of critical models (provided they are conformally invariant in the limit). These measures are indexed by a real parameter κ>0 (understood as Planck's …
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Topological Structures in Ferroic Materials
… In ferroic materials, these defects include planar domain walls, which separate regions of uniform orientation of the order parameter, as well as more complex structures such as vortices and skyrmions, which are spiralling configurations of the order parameter. This thesis investigates …