Sökning: "Multilinear"

Visar resultat 1 - 5 av 12 avhandlingar innehållade ordet Multilinear.

1. 1. Topics on Harmonic analysis and Multilinear Algebra

   Författare :Mahdi Hormozi; Göteborgs universitet; []
   Nyckelord :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;

   Sammanfattning : 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. LÄS MER

3. 2. Topics on Function Spaces and Multilinear Algebra

   Författare :Mahdi Hormozi; Göteborgs universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES;

   Sammanfattning : The present thesis consists of three different papers. Indeed, they treat two different research areas: function spaces 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. LÄS MER

4. 3. The Weighted Space Odyssey

   Författare :Martin Křepela; Sorina Barza; Gord Sinnamon; Karlstads universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; integral operators; supremal operators; weights; weighted function spaces; Lorentz spaces; Lebesgue spaces; convolution; Hardy inequality; multilinear operators; nonincreasing rearrangement; Matematik; Mathematics;

   Sammanfattning : The common topic of this thesis is boundedness of integral and supremal operators between weighted function spaces.The first type of results are characterizations of boundedness of a convolution-type operator between general weighted Lorentz spaces. LÄS MER

5. 4. Algorithms in data mining using matrix and tensor methods

   Författare :Berkant Savas; Lars Eldén; Lieven De Lathauwer; Linköpings universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Volume; Minimization criterion; Determinant; Rank deficient matrix; Reduced rank regression; System identification; Rank reduction; Volume minimization; General algorithm; Handwritten digit classification; Tensors; Higher order singular value decomposition; Tensor approximation; Least squares; Tucker model; Multilinear algebra; Notation; Contraction; Tensor matricization; Newton s method; Grassmann manifolds; Product manifolds; Quasi-Newton algorithms; BFGS and L-BFGS; Symmetric tensor approximation; Local intrinsic coordinates; Global embedded coordinates; ; Numerical analysis; Numerisk analys;

   Sammanfattning : In many fields of science, engineering, and economics large amounts of data are stored and there is a need to analyze these data in order to extract information for various purposes. Data mining is a general concept involving different tools for performing this kind of analysis. LÄS MER

7. 5. Regularity of multilinear oscillatory integral operators and nonlinear dispersive partial differential equations

   Författare :Aksel Bergfeldt; Wolfgang Staubach; Dorothee Frey; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; oscillatory integral operators; partial differential equations; Mathematics; Matematik;

   Sammanfattning : We show regularity of multilinear Schrödinger integral operators as well as multilinear oscillatory integrals with connection to dispersive partial differential equations. These results are used to show regularity of a system of nonlinear dispersive partial differential equations... LÄS MER