Search for dissertations about: "Natan Kruglyak"

Found 4 swedish dissertations containing the words Natan Kruglyak.

  2. 1. Orthogonal Polynomials, Operators and Commutation Relations

    Author : John Musonda; Sergei Silvestrov; Sten Kaijser; Anatoliy Malyarenko; Natan Kruglyak; Irina Asekritova; Viktor Abramov; Mälardalens högskola; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics Applied Mathematics; matematik tillämpad matematik;

    Abstract : Orthogonal polynomials, operators and commutation relations appear in many areas of mathematics, physics and engineering where they play a vital role. For instance, orthogonal functions in general are central to the development of Fourier series and wavelets which are essential to signal processing. READ MORE

  4. 2. Exact Minimizers in Real Interpolation : Characterization and Appliations

    Author : Japhet Niyobuhungiro; Natan Kruglyak; Irina Asekritova; Fredrik Berntsson; Froduald Minani; Luboš Pick; Linköpings universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : The main idea of the thesis is to develop new connections between the theory of real interpolation and applications. Near and exact minimizers for E–, K– and L–functionals of the theory of real interpolation are very important in applications connected to regularization of inverse problems such as image processing. READ MORE

  5. 3. Optimal Decomposition in Real Interpolation and Duality in Convex Analysis

    Author : Japhet Niyobuhungiro; Natan Kruglyak; Irina Asekritova; Fernando Cobos; Linköpings universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : This thesis is devoted to the study of mathematical properties of exact minimizers for the K–,L–, and E– functionals of the theory of real interpolation. Recently exact minimizers for these functionals have appeared in important results in image processing. READ MORE

  6. 4. Taut Strings and Real Interpolation

    Author : Eric Setterqvist; Natan Kruglyak; Irina Asekritova; Javier Soria; Linköpings universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : The taut string problem concerns finding the function with the shortest graph length, i.e. the taut string, in a certain set  of continuous piecewise linear functions. It has appeared in a broad range of applications including statistics, image processing and economics. READ MORE