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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 9 of 9 for “"functional calculus"”.
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On qualitative properties and convergence of time-discretization methods for semigroups
In this dissertation we use functional calculus methods to investigate convergence and qualitative properties of time-discretization methods for strongly continuous semigroups. Stability, convergence, and preservation of contractivity (or norm-bound) of the semigroup under time-discretization is …
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Weyl Pseudodifferential Calculus and the Heisenberg Group in New Settings
We examine both Weyl pseudodifferential calculus and the Heisenberg group in new settings, through two published papers and a chapter representing work towards a construction of Haar bases of unimodular LC groups. We finish with some remarks about an extension of both Heisenberg group and …
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Isospectral algorithms, Toeplitz matrices and orthogonal polynomials
… a canonical form. This allows us to implement a functional calculus for pert-Toeplitz Jacobi operators.
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Random partitions and the quantum Benjamin-Ono hierarchy
… case of the y-operator defined implicitly by functional calculus in Nekrasov (2016).
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Derivations on operator algebras
… of Section 4. Section 1: Basics lists some basic functional analysis results, operator algebra theory (of particular importance is the continuous functional calculus and certain results on the state and pure state space) and a special section on operator closedness. Some HahnBanach results are …
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Parallel programming using functional languages
It has been argued for many years that functional programs are well suited to parallel evaluation. This thesis investigates this claim from a programming perspective; that is, it investigates parallel programming using functional languages. The approach taken has been to determine the minimum …
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The Foundations of Infinite-Dimensional Spectral Computations
… absolutely continuous, singular continuous), functional calculus, and Radon--Nikodym derivatives in the SCI hierarchy. We construct algorithms for and classify; fractal dimensions of spectra, Lebesgue measures of spectra, spectral gaps, discrete spectra, eigenvalue multiplicities, capacity, …
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Extensions of the theory of tent spaces and applications to boundary value problems
We extend the theory of tent spaces from Euclidean spaces to various types of metric measure spaces. For doubling spaces we show that the usual 'global' theory remains valid, and for 'non-uniformly locally doubling' spaces (including R^n with the Gaussian measure) we establish a satisfactory local …
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Extensions of the theory of tent spaces and applications to boundary value problems
We extend the theory of tent spaces from Euclidean spaces to various types of metric measure spaces. For doubling spaces we show that the usual 'global' theory remains valid, and for 'non-uniformly locally doubling' spaces (including R^n with the Gaussian measure) we establish a satisfactory local …