Sökning: "vector-valued."
Visar resultat 1 - 5 av 21 avhandlingar innehållade ordet vector-valued..
1. Vector-valued Modular Forms, Computational Considerations
Sammanfattning : 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. LÄS MER
2. Vector-valued Eisenstein series of congruence types and their products
Sammanfattning : 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. LÄS MER
3. Computing Vector-valued Modular Forms of Congruence Types and of Some Extension Types
Sammanfattning : 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. LÄS MER
4. Hankel operators and atomic decompositions in vector-valued Bergman spaces
Sammanfattning : 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. LÄS MER
5. Articles on Potential Theory, Functional Analysis and Hankel Forms
Sammanfattning : Paper I: Perfekt, K.-M. and Putinar, M., Spectral bounds for the Neumann-Poincaré operator on planar domains with corners, to appear in J. LÄS MER