Counterexamples to the B-spline conjecture for Gabor frames

The frame set conjecture for B-splines $B_n$, $n \ge 2$, states that the frame set is the maximal set that avoids the known obstructions. We show that any hyperbola of the form $ab=r$, where $r$ is a rational number smaller than one and $a$ and $b$ denote the sampling and modulation rates, respectively, has infinitely many pieces, located around $b=2,3,\dots$, \emph{not} belonging to the frame set of the $n$th order B-spline. This, in turn, disproves the frame set conjecture for B-splines. On the other hand, we uncover a new region belonging to the frame set for B-splines $B_n$, $n \ge 2$.Comment: Version 2: Lem. 5, Prop. 6, and Thm. 7 added, Version 3: Thm. 8 change

Scandinavian Crime Fiction

Accessible yet comprehensive, this first systematic account of crime fiction across the globe offers a deep and thoroughly nuanced understanding of the genre's transnational history. Offering a lucid account of the major theoretical issues and comparative perspectives that constitute world crime fiction, this book introduces readers to the international crime fiction publishing industry, the translation and circulation of crime fiction, international crime fiction collections, the role of women in world crime fiction, and regional forms of crime fiction. It also illuminates the past and present of crime fiction in various supranational regions across the world, including East and South Asia, the Arab World, Sub-Saharan Africa, Europe and Scandinavia, as well as three spheres defined by a shared language, namely the Francophone, Lusophone, and Hispanic worlds. Thoroughly-researched and broad in scope, this book is as valuable for general readers as for undergraduate and postgraduate students of popular fiction and world literature

Hans Christian Andersen’s media ecology

This paper is part of a larger project that investigates the interdependence of Andersen's authorship and print culture. The project is preoccupied with the relationship between Andersen and the periodical press, which became a popular medium of visually enhanced, dialogic texts in the nineteenth century. From its first issue in 1852 to 1872, Andersen had 21 tales published in the yearly Folkekalender for Danmark. ‘The Old Church Bell’ appeared in Folkekalender in 1862 but was originally published in German translation as part of the commemorative Schiller-Album (1860). The paper will explore how the ‘ecologies and economies’ of the tale’s changing media networks affect its reading. It will be argued that changing national-political and publishing contexts, from one foregrounding commemoration to one marked by ephemerality, exemplify how Andersen appropriated material aspects of periodicals, and how his authorial practices sought to counter or playfully give poetic shape to the disenchantments of modernity

Catch crops have little effect on P and K availability of depleted soils

It is a well-known fact that catch crops have a significant effect on availability and loss of soil inorganic nitrogen (Thorup-Kristensen et al., 2003) and recently marked effects on soil inorganic sulphur dynamics have also been shown (Eriksen and Thorup-Kristensen 2002; Eriksen et al., 2004). However, we know much less about the effect of catch crops on phosphorous (P) and potassium (K) mobilisation and availability for the next crop. After several years of organic cash crop production, e.g. vegetables and cereals, yield levels may gradually be limited by soil P and K availability, depending on the initial status at conversion to organic production principles. This is particularly the case during the establishment phase of certain vegetable cultures with a limited rooting system (e.g. lettuce, leeks, onions). Therefore, it has often been hypothesized that certain catch crops are capable of increasing the availability of P and K when the soil status becomes low. In the VegCatch subproject 'Catch crops as a tool for increasing P bioavailability in soils' we have therefore studied the ability of different catch crop species to mobilise and take up P and K from soils of low availability, as well as the ability of the catch crops deliver P and K to the subsequent main crop