Search for dissertations about: "Period integrals"
Found 4 swedish dissertations containing the words Period integrals.
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1. Period integrals and other direct images of D-modules
Abstract : This thesis consists of three papers, each touching on a different aspect of the theory of rings of differential operators and D-modules. In particular, an aim is to provide and make explicit good examples of D-module directimages, which are all but absent in the existing literature. READ MORE
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2. Computing Vector-valued Modular Forms of Congruence Types and of Some Extension Types
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
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3. Delocalization in nonperiodic systems
Abstract : The localization properties of non-interacting linear excitations in one-dimensional aperiodically ordered structures are investigated from a theoretical point of view. The models used have various relevance for real systems, like quasicrystals, photonic crystals, and deterministic aperiodic superlattices. READ MORE
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4. Amoebas and Laurent series
Abstract : The amoeba of a polynomialpis the logarithmic image of the zero set of thepolynomial. l/pcan be developed into several Laurent series. Thelogarithmic image of every such Laurent series have a domain ofconvergence and its loga rithmic image is a component of thecomplement of the amoeba of p. This is the background for thethesis subjett. READ MORE
