Search for dissertations about: "vector-valued."

Showing result 1 - 5 of 21 swedish dissertations containing the word vector-valued..

  2. 1. Vector-valued Modular Forms, Computational Considerations

    Author : Tobias Magnusson; Chalmers tekniska högskola; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; modular forms;

    Abstract : In the following thesis we give a thorough self-contained introduction to vector-valued modular forms with an eye to representation theoretic aspects. We also examine the mathematical details of an implementation that we provide for an algorithm that computes bases of certain spaces of vector-valued modular forms in terms of a theorem due to Raum and Xià. READ MORE

  4. 2. Vector-valued Eisenstein series of congruence types and their products

    Author : Jiacheng Xia; Chalmers tekniska högskola; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Hecke operator; Fourier expansion of modular forms; congruence type; products of Eisenstein series; vector-valued modular forms;

    Abstract : Historically, Kohnen and Zagier connected modular forms with period polynomials, and as a consequence of this association concluded that the products of at most two Eisenstein series span all spaces of classical modular forms of level 1. Later Borisov and Gunnells among other authors extended the result to higher levels. READ MORE

  5. 3. Computing Vector-valued Modular Forms of Congruence Types and of Some Extension Types

    Author : Tobias Magnusson; Chalmers tekniska högskola; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; eisenstein series; modular forms; iterated eichler-shimura integrals; vector-valued modular forms;

    Abstract : This thesis explores applications of vector-valued modular forms of congruence and extension types to scalar-valued modular forms for congruence subgroups with a character, higher order modular forms, and iterated Eichler-Shimura integrals of depth one and two, including considerable generalizations thereof. In \textsc{Paper I} (co-authored with Martin Raum), we present an algorithm for computing bases for spaces of vector-valued modular forms of congruence type and of weight at least $2$ in terms of products of components of vector-valued Eisenstein series. READ MORE

  6. 4. Hankel operators and atomic decompositions in vector-valued Bergman spaces

    Author : Olivia Constantin; Matematik (naturvetenskapliga fakulteten); []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik; Hankel operators; similarity to contractions; atomic decompositions;

    Abstract : Abstract This thesis consists of the following three papers Paper I. Hankel operators on Bergman spaces and similarity to contractions. In this paper we consider Foguel-Hankel operators on vector-valued Bergman spaces. READ MORE

  7. 5. Articles on Potential Theory, Functional Analysis and Hankel Forms

    Author : Karl-Mikael Perfekt; Matematik (naturvetenskapliga fakulteten); []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Neumann-Poincare operator; layer potential; Lipschitz; spectrum; bidual; predual; distance; BMO; Hankel form; Carleson embedding; vector-valued.;

    Abstract : Paper I: Perfekt, K.-M. and Putinar, M., Spectral bounds for the Neumann-Poincaré operator on planar domains with corners, to appear in J. READ MORE