Sökning: "hilbert space basis"

Visar resultat 1 - 5 av 6 avhandlingar innehållade orden hilbert space basis.

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

    Författare :Niklas Grip; Luleå tekniska universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    Sammanfattning : 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. LÄS MER

  3. 2. Computational algorithms for algebras

    Författare :Samuel Lundqvist; Clas Löfwall; Ralf Fröberg; H. Michael Möller; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Hilbert function; Gröbner basis; zero-dimensional ideal; affine variety; projective variety; run-time complexity; Algebra and geometry; Algebra och geometri; Mathematics; matematik;

    Sammanfattning : 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. LÄS MER

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

    Författare :Niklas Sehlstedt; KTH; []
    Nyckelord :inverse force estimation; dynamic boundary traction vector; hilbert space basis; modal methods; inverse problem;

    Sammanfattning : .... LÄS MER

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

    Författare :Niklas Sehlstedt; KTH; []
    Nyckelord :Dynamic strain; Dynamic boundary traction vector; Hilbert space basis; Modal methods; Inverse problem; Ill-conditioning;

    Sammanfattning : .... LÄS MER

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

    Författare :Henrik Petersson; Andrei Khrennikov; Sean Dineen; Växjö universitet; []
    Nyckelord :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;

    Sammanfattning : 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. LÄS MER