Search for dissertations about: "Jens Jonasson"

Found 2 swedish dissertations containing the words Jens Jonasson.

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

    University dissertation from Matematiska institutionen

    Author : Jens Jonasson; Linköpings universitet.; Linköpings universitet.; [2007]
    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

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

    University dissertation from Linköping : Linköpings universitet

    Author : Jens Jonasson; Linköpings universitet.; Linköpings universitet.; [2005]
    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