Search for dissertations about: "Polynomial operator"
Showing result 1 - 5 of 20 swedish dissertations containing the words Polynomial operator.
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1. The Symmetric Meixner-Pollaczek polynomials
Abstract : The Symmetric Meixner-Pollaczek polynomials are considered. We denote these polynomials in this thesis by pn(λ)(x) instead of the standard notation pn(λ) (x/2, π/2), where λ > 0. READ MORE
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2. On eigenvalues of the Schrödinger operator with a complex-valued polynomial potential
Abstract : In this thesis, we generalize a recent result of A. Eremenko and A. Gabrielov on irreducibility of the spectral discriminant for the Schroedinger equation with quartic potentials. READ MORE
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3. On Vertex Operator Algebras of Affine Type at Admissible Levels
Abstract : The main purpose of this thesis is the study of the structure and representation theory of simple vertex operator algebras (VOAs) of affine type at admissible levels. To do this, it is crucial to obtain knowledge of the singular vectors which generate the maximal submodules, with respect to which these VOAs appear as irreducible quotients, and therefore a substantial part of the text is devoted to this matter. READ MORE
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4. Uncertainty Quantification and Numerical Methods for Conservation Laws
Abstract : Conservation laws with uncertain initial and boundary conditions are approximated using a generalized polynomial chaos expansion approach where the solution is represented as a generalized Fourier series of stochastic basis functions, e.g. orthogonal polynomials or wavelets. READ MORE
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5. Optimization Models and Methods for Telecommunication Networks using OSPF
Abstract : The routing in OSPF Telecommunication networks is determined by computing shortest paths with respect to link weights set by the network operator. All shortest paths to a destination are used by the routers when traffic is routed, and the routers split the traffic evenly when alternative shortest paths exist. READ MORE