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 20 of 55 for “"vector-valued."”.
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Banach Spaces of Analytic Vector-valued Functions
… and approximation problems, involving matrix-valued and vector-valued Hardy spaces on the unit disc ID and its boundary T in the complex plane. The first part of the thesis looks at the factorization of square matrix-valued boundary functions, beginning with spectral factorization in Chapter …
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Vector valued Poisson transforms on Riemannian symmetric spaces
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1994.
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Theory of reproducing kernels for Hilbert spaces of vector valued functions
… class of Hilbert spaces of real or complex valued functions and for the application of the methods of Hilbert space theory to different problems in the theory of partial differential equations. With a view to applications to systems of such equations the form which the theory takes in the …
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A Representation Theory for the Laplace Transform of Vector-Valued Functions
Made available in DSpace on 2014-12-05T21:50:16Z (GMT). No. of bitstreams: 1 6001696.pdf: 2122521 bytes, checksum: 9cbf8f997fbc0e0145c303803bec98b1 (MD5) Previous issue date: 1960
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Vector-valued multidimensional signal processing and analysis in the context of fluid flows
… (PIV) experiment. The theory of recovering vector-valued signals from random point processes is generalized from those for scalar-valued ones. Two interpolation methods are developed based on the physics of fluids. A physically constrained optimal interpolation method is developed when the …
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H(p) Spaces and Inequalities in Ergodic Theory
… operators and the theory of Banach space-valued operators to establish a new method to study the inequalities for the operators induced by an ergodic, measure preserving transformation. This method also indicates the close connection between the classical theory of H p spaces and ergodic …
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Stochastic Mean Field Games within Complex Systems and Interacting Particle Frameworks
… by its spatial position and a velocity vector. The key idea is the construction of the Plato space, which is designed to represent idealized particle configurations where the total velocity remains bounded within any compact subset of phase space. This space serves as a crucial bridge to …
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Matrix Free approach for Raviart-Thomas anisotropic Tensor Product Finite Elements
… allow the framework to also support anisotropic vector-valued finite elements in addition to existing isotropic Lagrangian finite elements. Tests on finite element operators in divergence conforming spaces for Mixed diffusion equation and Stokes equations show that the method is sufficiently …
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The Pettis Integral
The Pettis integral of a weakly measurable vector-valued function is the most natural integral for use in Banach spaces. Although first defined over forty years ago, the integral has stubbornly defied analysis and has long been considered unmanageable. My thesis presents the first successful …
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Gaussian Process Emulation: Theory and Application to Coupled Physics
… process methodology suitable for coupled, vector-valued systems. The approach combines a vector-valued emulator (parallel partial emulator) with an emulator for coupled multiphysics functions (a linked emulator). The main assumption of the parallel partial emulator is that the predictive …
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Quantization Of Spin Direction For Solitary Waves in a Uniform Magnetic Field
… of momentum frame). In this paper we consider vector-valued solitary wave solutions to a nonlinear Klein-Gordon equation and investigate the behavior of these spinning solitary waves under the influence of an externally imposed uniform magnetic field. We find that the only stationary spinning …
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Arithmetic of Maass forms of half-integral weight
… and Bringmann-Ono, together with the theory of vector-valued modular forms.
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Multiple scattering of electromagnetic waves by distributions of particles with applications to radio wave propagation through precipitation
The Twersky procedure is used to derive the vector Foldy-LaxTwersky integral equation (Dyson equation) for the coherent field in a random distribution of particles. The above equation is applied to ice depolarization and rain attenuation and depolarization. Twersky's procedure is then extended in …
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Analysis of functionally graded material object representation methods
… to how an image is represented by a continuous vector valued function of the intensity of the primary colors over a two-dimensional space, an FGM object is represented by a vector valued function spanning a Material Space, defined over the three dimensional Build Space. Therefore, the Model …
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Gleason solutions and canonical models for row contractions
… associated to a contractive multiplier between vector-valued Drury-Arveson spaces. Here, a Gleason solution is the appropriate several-variable analogue of the adjoint of the restricted backward shift. Given such a row contraction T, the corresponding multiplier bT , that is, the characteristic …
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Simulation-based Design with Polynomial Ridge Approximations
… form ridge approximations for multi-objective (vector-valued) functions are proposed and studied. The focus of this study is on how ridge approximations of individual objectives can be combined while accounting for relations between the multiple outputs under different situations. First, …
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Nonconforming Immersed Finite Element Methods for Interface Problems
… problem with discontinuous Lam"e parameters. Vector-valued nonconforming rotated Q1 IFE functions with integral-value degrees of freedom are unisolvent with appropriate interface jump conditions. More importantly, the Galerkin IFE scheme using these vector-valued nonconforming rotated Q1 IFE …
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Statistical inference of multivariate time series and functional data using new dependence metrics
… the conditional mean dependence of two random vectors. For one part, the new approaches to dimension reduction of multivariate time series for conditional mean and conditional variance are proposed by applying new metrics, the so-called Martingale Difference Divergence Matrix (MDDM), Volatility …
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Discrete Harmonic Analysis Associated with Jacobi Expansions
… to prove these inequalities is based on the vector-valued Calderón-Zygmund theory in spaces of homogeneous type.
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Convergence of Kernel Methods for Modeling and Estimation of Dynamical Systems
… This dissertation initially studies scalar-valued RKHS, and subsequently the RKHS embedding method is extended for the estimation of vector-valued uncertain functions. Like the scalar-valued case, the formulation of vector-valued RKHS embedding is proven to be well-posed. The notion of …
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