On the local integrability condition for generalised translation-invariant systems

This paper considers the local integrability condition for generalised translation-invariant systems and its relation to the Calder\'on integrability condition, the temperateness condition and the uniform counting estimate. It is shown that sufficient and necessary conditions for satisfying the local integrability condition are closely related to lower and upper bounds on the number of lattice points that intersect with the translates of a compact set. The results are complemented by examples that illustrate the crucial interplay between the translation subgroups and the generating functions of the system.Comment: Minor revision. To appear in Collect. Mat

mHealth series:New ideas for mHealth data collection implementation in low– and middle–income countries

The use of mobile devices in healthcare, or mHealth, has the potential to play an important role in low–and middle–income countries in a wide range of areas. A particular area with great potential to improve global health is using mHealth for data collection. We propose three ideas: (i) to validate and conduct household surveys, (ii) to monitor large–scale programs, and (iii) to measure the global burden of disease

Paths to justice in the Netherlands: looking for signs of social exclusion

In 2003 Genn's Paths to Justice study for the UK was replicated in the Netherlands. A survey was held among 3.500 citizens into their experiences with problems for which there might be a legal solution.The data were collected by internet questionnaires, which were addressed to a random sample of an internet panel. In this paper we present some major findings on: (1) the incidence of justiciable problems within the population; (2) the kind of strategies people choose to solve their problems; (3) the outcome of different strategies for resolving justiciable problems; (4) the public's perceptions of the legal system. More specifically, we study differences with respect to age, marital status, educational level, income level and social class, in order to shed some light on the role and scope of social exclusion. Our results suggest that access to justice in the Netherlands is not so much restricted by the supply of legal advice and the organisation of the legal system, as well as by insufficient social-psychological capabilities of the citizens concerned.Legal procedure, legal system, social exclusion

The introduction of an appeals court in Dutch tax litigation

Since January 1, 2005, the Dutch tax litigation comprises an appeals court. Before 2005, it had but one court of instance. That means that now, after a court of first instance has given its verdict in a tax dispute, an unsatisfied party may appeal to a higher instance, where this was impossible before. In this paper we investigate which consequences introducing an appeals court has for the way tax payers and the tax administration solve their disputes. We focus on the following questions. Are more or less tax payers willing to go to court to solve the dispute? Is it more or less difficult for parties to agree upon a settlement? Which appeal rate can we expect? What is the role of trust in the courts in the answers to the questions above?Economic analysis of law; Litigation; Appeal

Invertibility of frame operators on Besov-type decomposition spaces

We derive an extension of the Walnut-Daubechies criterion for the invertibility of frame operators. The criterion concerns general reproducing systems and Besov-type spaces. As an application, we conclude that $L^2$ frame expansions associated with smooth and fast-decaying reproducing systems on sufficiently fine lattices extend to Besov-type spaces. This simplifies and improves recent results on the existence of atomic decompositions, which only provide a particular dual reproducing system with suitable properties. In contrast, we conclude that the $L^2$ canonical frame expansions extend to many other function spaces, and, therefore, operations such as analyzing using the frame, thresholding the resulting coefficients, and then synthesizing using the canonical dual frame are bounded on these spaces

Hardy spaces and dilations on homogeneous groups

On a homogeneous group, we characterize the one-parameter groups of dilations whose associated Hardy spaces in the sense of Folland and Stein are the same