Search for dissertations about: "Orthogonal basis"

Showing result 1 - 5 of 40 swedish dissertations containing the words Orthogonal basis.

2. 1. Algorithmic Methods in Combinatorial Algebra

   Author : Anna Torstensson; Algebra; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; algebraic geometry; field theory; Number Theory; maximal symmetry group; resultant; SAGBI basis; Orthogonal decomposition; algebra; group theory; Talteori; fältteori; algebraisk geometri; gruppteori;

   Abstract : This thesis consists of a collection of articles all using and/or developing algorithmic methods for the investigation of different algebraic structures. Part A concerns orthogonal decompositions of simple Lie algebras. The main result of this part is that the symplectic Lie algebra C3 has no orthogonal decomposition of so called monomial type. READ MORE

4. 2. Topics on Harmonic analysis and Multilinear Algebra

   Author : Mahdi Hormozi; Göteborgs universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Generalized bounded variation; Helly s theorem; Modulus of variation; Generalized Wiener classes; Symmetry classes of tensors; Orthogonal basis; Brauer symmetry classes of tensors; Multilinear singular integrals; weighted norm inequalities; weighted bounds; local mean oscillation; Lerner s formula; Brauer symmetry classes of tensors;

   Abstract : The present thesis consists of six different papers. Indeed, they treat three different research areas: function spaces, singular integrals and multilinear algebra. In paper I, a characterization of continuity of the $p$-$\Lambda$-variation function is given and Helly's selection principle for $\Lambda BV^{(p)}$ functions is established. READ MORE

5. 3. Vehicle wakes subject to side wind conditions

   Author : Magnus Urquhart; Chalmers tekniska högskola; []
   Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; drag; surrogate model; cavity; Latin Hypercube Sampling; wake; aerodynamics; real world conditions; Proper Orthogonal Decomposition; wind averaged drag; Radial Basis Functions; side wind; optimization; tapered extensions; cycle averaged;

   Abstract : Passenger vehicles are associated with travel flexibility, today it is clear that this flexibility impacts the environment. Passenger vehicles account for more than one-tenth of all greenhouse gasses in Europe with approximately a quarter of the vehicle's energy consumption wasted as aerodynamic drag. READ MORE

6. 4. On Identification of Biological Systems

   Author : Egi Hidayat; Alexander Medvedev; Peter Stoica; Elling Jacobsen; Uppsala universitet; []
   Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; system identification; biomedical systems; insect vision; endocrine systems; orthogonal basis functions; time delay; impulse response; Laguerre functions; Laguerre polynomials; excitation design; Elektroteknik med inriktning mot reglerteknik; Electrical Engineering with specialization in Automatic Control;

   Abstract : System identification finds nowadays application in various areas of biological research as a tool of empiric mathematical modeling and model individualization. A fundamental challenge of system identification in biology awaits in the form of response variability. READ MORE

7. 5. Multiplier Sequences for Laguerre bases

   Author : Elin Ottergren; Petter Brändén; Björn Gustafsson; Stockholms universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; stability preserving operator; orthogonal polynomials; multiplier sequences; Mathematics; matematik;

   Abstract : Pólya and Schur completely characterized all real-rootedness preserving linear operators acting on the standard monomial basis in their famous work from 1914. The corresponding eigenvalues are from then on known as multiplier sequences. READ MORE