Gudme: The Iron Age Settlement and Central Halls presents, describes and interprets the many finds and structures that have been comprised during the extended excavations at the central parts of the Gudme locality on southeast Funen, Denmark. Head of excavation Palle Østergaard Sørensen extracts, combines, classifies, dates and temporalizes the many finds and houses from the excavations Gudmehallerne, Gudme III, Gudme IV. Since the 19th century the Gudme area has been known as one of the richest prehistoric localities in Scandinavia, and more than 1,000 roman coins, close to 600 fibulas as well as several small mask and animal figurines form part of the Gudme find assemblage. From AD 200 to AD 600 the site expanded rapidly and covered as much as one square kilometer comprising up to 50 farmsteads. At the individual farms, specialized craftsmanship can be found and the debris and tools of gold- and silversmiths as well as bronze casting is abundant – here, bronze fragments, often from statues, imported from the Roman Empire form a distinct category of finds – bearing witness to a flourishing and innovative world of craftsmanship, as well as an extensive trade network. During this period the unique and monumental halls, with the largest being 47 m long and 10 m wide, dominated the hilltops east of Gudme lake. Just to the south a smaller building accompanied the large hall, and had been purposely demolished and rebuilt several times at the exact same spot. The unusually large entrances to the two adjoined buildings lead straight from one to the other, thus witnessing a duality of buildings that came to define the aristocratic localities throughout Scandinavia in the following 800 years. Hence, Gudme represents a starting point for a significant type of architectural ideal as well as a first generation of central places.
The complex of megaliths near Tustrup is a prime example of the megalithic sites used by early farming communities in Stone Age Europe. Excavated in the 1950s by Moesgaard Museum, the site continues to hold great contemporary and scientific value. Its significance relates primarily to the unusual find of a ritual complex connected to two dolmens and passage grave. The question of why monumental sites played such an important role for early farming communities is currently the focus of several international studies. In Denmark, which boasts one of the world’s largest concentrations of megalithic monuments as well as a strong tradition for research in the area, archaeologists have had a longstanding wish to contribute to this discussion with a comprehensive publication about the unique complex of megaliths near Tustrup. Experts have researched the finds and meticulously analysed the site and its artefacts. These detailed studies have led to surprising and well-documented interpretations of the megalithic tombs, the construction history of the ritual site and their function, along with the inter-relationship between the monuments.
The cinematographers and directors who shot film in wilderness areas at the turn of the 19th century are some of the unsung heroes of documentary film-making. Apart from severe weather conditions, these men and women struggled with heavy and cumbersome equipment in some of the most unforgiving locales on the planet. This groundbreaking study examines nature, wildlife and wilderness filming from all angles. Topics covered include the beginnings of film itself, the first attempts at nature and expedition filming, technical developments of the period involving cameras and lenses, and the role film has played in wilderness preservation. The individual contributions of major figures are discussed throughout, and a filmography lists hundreds of nature films from the period.
The power of the European Parliament has been steadily and visibly increasing in recent years. This arises from EU treaty changes and from the fact that more and more decisions are being made at the European level. At the same time, however, the already low rate of turnout in European elections has actually been declining. This powerful new study examines a seemingly paradoxical situation which has raised deep concern about the democratic deficit in the European Union. The authors analyse the concepts of participation, democracy, and legitimacy and their applicability at the European level and develop a typology of voter participation and abstention in the European context. Combining extensive new data from specially commissioned surveys in all 1994 member states with a searching review of the existing evidence, they provide a comprehensive account of the legitimacy of the European Union and examine the images of the European Parliament, citizens experiences of the 1994 campaign and their perceptions of the parties and the candidates. In an analysis that challenges existing interpretations, the institutional, demographic, and attitudinal sources of participation and abstention are fully explored. The study concludes by considering how participation and democratic representation might be enhanced, acknowledging forthrightly the obstacles and inherent limits that such efforts are likely to face.
This book has been divided into two sections for easy reading. While the first section gives the essence of WTO Agreements, the second section deals extensively with trade disputes between Member Countries including many involving India. Readers will find it easier to understand the objectives and functioning of WTO after going through the case studies, which also contain additional information on the organisation's core principles and agreements. Thus, the two sections, which can be read independent of each other, reinforce the understanding of the subject.Additional and latest information in the form of boxes, illustrations and tables has been given for a better understanding of the impact of WTO on the policies of Member Countries, and particularly that of India.A detailed glossary, 'snapshot' summaries of case studies, web-based exercises, informative annexures and an index of important words for easy reference besides a list of abbreviations have been given to enable the reader to get a comprehensive understanding of the 'complex' organisation that WTO is.This book is intended to be useful for all those who are interested in knowing more about current issues facing the World Trade Organisation, including those in academia, chambers of commerce, industry organisations and corporate houses.
There is a recent and increasing interest in harmonic analysis of non-smooth geometries. Real-world examples where these types of geometry appear include large computer networks, relationships in datasets, and fractal structures such as those found in crystalline substances, light scattering, and other natural phenomena where dynamical systems are present. Notions of harmonic analysis focus on transforms and expansions and involve dual variables. In this book on smooth and non-smooth harmonic analysis, the notion of dual variables will be adapted to fractals. In addition to harmonic analysis via Fourier duality, the author also covers multiresolution wavelet approaches as well as a third tool, namely, L2 spaces derived from appropriate Gaussian processes. The book is based on a series of ten lectures delivered in June 2018 at a CBMS conference held at Iowa State University.
This book combining wavelets and the world of the spectrum focuses on recent developments in wavelet theory, emphasizing fundamental and relatively timeless techniques that have a geometric and spectral-theoretic flavor. The exposition is clearly motivated and unfolds systematically, aided by numerous graphics. This self-contained book deals with important applications to signal processing, communications engineering, computer graphics algorithms, qubit algorithms and chaos theory, and is aimed at a broad readership of graduate students, practitioners, and researchers in applied mathematics and engineering. The book is also useful for other mathematicians with an interest in the interface between mathematics and communication theory.
Let $N\in\mathbb{N}$, $N\geq2$, be given. Motivated by wavelet analysis, this title considers a class of normal representations of the $C DEGREES{\ast}$-algebra $\mathfrak{A}_{N}$ on two unitary generators $U$, $V$ subject to the relation $UVU DEGREES{-1}=V DEGREES{N}$. The representations are in one-to-one correspondence with solutions $h\in L DEGREES{1}\left(\mathbb{T}\right)$, $h\geq0$, to $R\left(h\right)=h$ where $R$ is a certain transfer operator (positivity-preserving) which was studied previously by D. Ruelle. The representations of $\mathfrak{A}_{N}$ may also be viewed as representations of a certain (discrete) $N$-adic $ax+b$ group which was considered recently
This is a book to be read and worked with. For a beginning graduate student, this can be a valuable experience which at some points in fact leads up to recent research. For such a reader there is also historical information included and many comments aiming at an overview. It is inspiring and original how old material is combined and mixed with new material. There is always something unexpected included in each chapter, which one is thankful to see explained in this context and not only in research papers which are more difficult to access.'Mathematical Reviews ClippingsThe book features new directions in analysis, with an emphasis on Hilbert space, mathematical physics, and stochastic processes. We interpret 'non-commutative analysis' broadly to include representations of non-Abelian groups, and non-Abelian algebras; emphasis on Lie groups and operator algebras (C* algebras and von Neumann algebras.)A second theme is commutative and non-commutative harmonic analysis, spectral theory, operator theory and their applications. The list of topics includes shift invariant spaces, group action in differential geometry, and frame theory (over-complete bases) and their applications to engineering (signal processing and multiplexing), projective multi-resolutions, and free probability algebras.The book serves as an accessible introduction, offering a timeless presentation, attractive and accessible to students, both in mathematics and in neighboring fields.
The purpose of this book is to make available to beginning graduate students, and to others, some core areas of analysis which serve as prerequisites for new developments in pure and applied areas. We begin with a presentation (Chapters 1 and 2) of a selection of topics from the theory of operators in Hilbert space, algebras of operators, and their corresponding spectral theory. This is a systematic presentation of interrelated topics from infinite-dimensional and non-commutative analysis; again, with view to applications. Chapter 3 covers a study of representations of the canonical commutation relations (CCRs); with emphasis on the requirements of infinite-dimensional calculus of variations, often referred to as Ito and Malliavin calculus, Chapters 4-6. This further connects to key areas in quantum physics.
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