Search for dissertations about: "Herglotz functions"
Showing result 1 - 5 of 8 swedish dissertations containing the words Herglotz functions.
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1. On Herglotz-Nevanlinna functions in several variables
Abstract : In this thesis, we investigate different aspects of the class of Herglotz-Nevanlinna functions in several variables. These are holomorphic functions on the poly-upper half-plane having non-negative imaginary part. Our results are presented in the four research articles A1 - A4, which are included in this thesis. READ MORE
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2. Integral representations of Herglotz-Nevanlinna functions
Abstract : In this thesis, we study integral representations of Herglotz-Nevanlinna functions, that is to say holomorphic functions defined on a product of several copies of the complex upper half-plane having non-negative imaginary part. The manuscript is divided into three parts, beginning with a general introduction followed by two papers. READ MORE
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3. Optimization and Physical Bounds for Passive and Non-passive Systems
Abstract : Physical bounds in electromagnetic field theory have been of interest for more than a decade. Considering electromagnetic structures from the system theory perspective, as systems satisfying linearity, time-invariance, causality and passivity, it is possible to characterize their transfer functions via Herglotz functions. READ MORE
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4. Dispersion Relations in Scattering and Antenna Problems
Abstract : This dissertation deals with physical bounds on scattering and absorption of acoustic and electromagnetic waves. A general dispersion relation or sum rule for the extinction cross section of such waves is derived from the holomorphic properties of the scattering amplitude in the forward direction. READ MORE
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5. Estimation of electromagnetic material properties with application to high-voltage power cables
Abstract : Efficient design of high-voltage power cables is important to achieve an economical delivery of electric power from wind farms and power plants over the very long distances as well as the overseas electric power. The main focus of this thesis is the investigation of electromagnetic losses in components of high-voltage power cables. READ MORE