Search for dissertations about: "Jens Jonasson"

Found 3 swedish dissertations containing the words Jens Jonasson.

  2. 1. Systems of Linear First Order Partial Differential Equations Admitting a Bilinear Multiplication of Solutions

    Author : Jens Jonasson; Stefan Rauch; Sergio Benenti; Linköpings universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Cauchy–Riemann equations; holomorphic functions; algebra; MATHEMATICS; MATEMATIK;

    Abstract : The Cauchy–Riemann equations admit a bilinear multiplication of solutions, since the product of two holomorphic functions is again holomorphic. This multiplication plays the role of a nonlinear superposition principle for solutions, allowing for construction of new solutions from already known ones, and it leads to the exceptional property of the Cauchy–Riemann equations that all solutions can locally be built from power series of a single solution z = x + iy ∈ C. READ MORE

  4. 2. The Levi-Civita geodesic equivalence problem and multiplication of cofactor pair systems

    Author : Jens Jonasson; Sergio Benenti; Linköpings universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK;

    Abstract : When studying equivalence of dynamical systems, in the sense of Levi-Civita, the concept of cofactor pair systems plays an important role. Co-factor pair systems can be constructed through a multiplicative structure of the so called quasi-Cauchy-Riemann equations (cof J)-1▽V = (cof )-1▽, where J and are special conformal Killing tensors. READ MORE

  5. 3. Towards Clinical Implementation of Dynamic Positron Emission Tomography in Neurodegenerative Diseases

    Author : My Jonasson; Mark Lubberink; Lieuwe Appel; Jens Sörensen; Michel Koole; Uppsala universitet; []
    Keywords : MEDICIN OCH HÄLSOVETENSKAP; MEDICAL AND HEALTH SCIENCES; Positron emission tomography; PET; Molecular imaging; Quantification; Kinetic modelling; Parametric images; Alzheimer’s disease; Parkinson’s disease; Radiology; Radiologi;

    Abstract : Alzheimer’s disease (AD) and Parkinson’s disease (PD) are the two most common neurodegenerative disorders worldwide. Positron emission tomography (PET), together with suitable biomarkers, can aid in the clin-ical evaluation as well as in research investigations of these diseases. READ MORE