Search for dissertations about: "hilbert space basis"

Showing result 1 - 5 of 6 swedish dissertations containing the words hilbert space basis.

  1. 1. Hilbert space frames and bases a comparison of Gabor and wavelet frames and applications to multicarrier digital communications

    University dissertation from Luleå : Luleå tekniska universitet

    Author : Niklas Grip; Luleå tekniska universitet.; [2000]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    Abstract : Several signal processing applications today are based on the use of different transforms. The signals under consideration are written as a linear combination (or series) of some predefined set of functions. Traditionally, orthogonal bases have been used for this purpose, for example, in the discrete Fourier transform. READ MORE

  2. 2. Computational algorithms for algebras

    University dissertation from Stockholm : Department of Mathematics, Stockholm University

    Author : Samuel Lundqvist; Stockholms universitet.; [2009]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Hilbert function; Gröbner basis; zero-dimensional ideal; affine variety; projective variety; run-time complexity; MATHEMATICS Algebra; geometry and mathematical analysis Algebra and geometry; MATEMATIK Algebra; geometri och analys Algebra och geometri; matematik; Mathematics;

    Abstract : This thesis consists of six papers. In Paper I, we give an algorithm for merging sorted lists of monomials and together with a projection technique, we obtain a new complexity bound for the Buchberger-Möller algorithm and the FGLM algorithm. READ MORE

  3. 3. Hybrid methods for inverse force estimation in structural dynamics

    University dissertation from Institutionen för farkostteknik

    Author : Niklas Sehlstedt; KTH.; [2003]
    Keywords : inverse force estimation; dynamic boundary traction vector; hilbert space basis; modal methods; inverse problem;

    Abstract : .... READ MORE

  4. 4. On modal methods and inverse problems in structural dynamics

    University dissertation from Institutionen för farkostteknik

    Author : Niklas Sehlstedt; KTH.; [2001]
    Keywords : Dynamic strain; Dynamic boundary traction vector; Hilbert space basis; Modal methods; Inverse problem; Ill-conditioning;

    Abstract : .... READ MORE

  5. 5. Infinite dimensional holomorphy in the ring of formal power series : partial differential operators

    University dissertation from Institutionen för farkostteknik

    Author : Henrik Petersson; Växjö universitet.; [2001]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Infinite dimensional holomorphy; Formal power series; Fourier-Borel transform; Paley-Wiener theorem; Fischer decomposition; Fischer pair; Fock space; Cauchy-Problem; Kergin operator; PDE-preserving; Pseudo-differential operators.; MATHEMATICS; MATEMATIK;

    Abstract : We study holomorphy in the ring of formal power series in an infinite number of variables. Thus we restrict our study to (infinite dimensional) holomorphy on sequence spaces and we show that we obtain a rich theory without requiring any topological structure on the domain space. We make a comprehensive PDO-study for the spaces under consideration. READ MORE