Search for dissertations about: "integral geometry"
Showing result 1 - 5 of 46 swedish dissertations containing the words integral geometry.
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1. Theoretical and computational advances in small-angle x-ray scattering tensor tomography
Abstract : The relationships between microscopic and macroscopic structures is a central topic of materials physics. Small-angle x-ray scattering (SAXS) is a powerful experimental technique for probing and mapping variations in electron density, given by the reciprocal space map, down to the nanometer scale in two dimensions. READ MORE
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2. Asymptotic distribution of zeros of a certain class of hypergeometric polynomials
Abstract : The thesis consists of two papers, both treating hypergeometric polynomials, and a short introduction. The main results are as follows. READ MORE
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3. Tangential Derivations, Hilbert Series and Modules over Lie Algebroids
Abstract : Let A/k be a local commutative algebra over a field k of characteristic 0, and T_{A/k} be the module of k-linear derivations on A. We study, in two papers, the set of k-linear derivations on A which are tangential to an ideal I of A (preserves I), defining an A-submodule T_{A/k}(I) of T_{A/k}, which moreover is a k-Lie subalgebra. READ MORE
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4. The Bergman Kernel on Toric Kähler Manifolds
Abstract : Let $(L,h)\to (X, \omega)$ be a compact toric polarized Kähler manifold of complex dimension $n$. For each $k\in N$, the fibre-wise Hermitian metric $h^k$ on $L^k$ induces a natural inner product on the vector space $C^{\infty}(X, L^k)$ of smooth global sections of $L^k$ by integration with respect to the volume form $\frac{\omega^n}{n!}$. READ MORE
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5. Digital Geometry, Combinatorics, and Discrete Optimization
Abstract : This thesis consists of two parts: digital geometry and discrete optimization. In the first part we study the structure of digital straight line segments. We also study digital curves from a combinatorial point of view. READ MORE
