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Showing 1 to 8 of 8 for “"Vector valued functions"”.
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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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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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Integration and Differentiation in a Banach Space
… extension of Saks's Theory of the Integral to functions that have values in a Banach space. The differentiation of functions that are not of bounded variation and the extension of the Denjoy integral to vector-valued functions are studied in detail. It is shown that a BVG$\sb\*$ function that …
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Towards exact molecular dynamics simulations with invariant machine-learned models
… accomplished by learning in a Hilbert space of vector-valued functions that obey the law of energy conservation. We proceed with the development of a multi-partite matching algorithm that enables a fully automated recovery of physically relevant point-group and fluxional symmetries from the …
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Spectral Geometry for Structural Pattern Recognition
… problem is to embed the nodes of a graph in a vector space and to study the properties of the point distribution that results from the embedding. This is a problem that arises in a number of areas including manifold learning theory and graph-drawing. In this thesis, our first contribution is to …
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Simulation-based Design with Polynomial Ridge Approximations
… of interest. For modelling smoothly varying functions, the use of orthogonal polynomials has seen considerable research that establishes its efficacy for surrogate modelling, especially in applications such as uncertainty quantification. Meanwhile, ridge approximations provide low-dimensional …