2,456 research outputs found

    On the Borel mapping in the quasianalytic setting

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    The Borel mapping takes germs at 00 of smooth functions to the sequence of iterated partial derivatives at 00. We prove that the Borel mapping restricted to the germs of any quasianalytic ultradifferentiable class strictly larger than the real analytic class is never onto the corresponding sequence space.Comment: 14 pages; minor changes, accepted for publication in Math. Scand.; typos corrected and numbering of equations changed in order to be in accordance with the published articl

    Composition in ultradifferentiable classes

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    We characterize stability under composition of ultradifferentiable classes defined by weight sequences MM, by weight functions ω\omega, and, more generally, by weight matrices M\mathfrak{M}, and investigate continuity of composition (g,f)↦f∘g(g,f) \mapsto f \circ g. In addition, we represent the Beurling space E(ω)\mathcal{E}^{(\omega)} and the Roumieu space E{ω}\mathcal{E}^{\{\omega\}} as intersection and union of spaces E(M)\mathcal{E}^{(M)} and E{M}\mathcal{E}^{\{M\}} for associated weight sequences, respectively.Comment: 28 pages, mistake in Lemma 2.9 and ramifications corrected, Theorem 6.3 improved; to appear in Studia Mat

    Globalisation, indigenous tourism, and the politics of place in Amaicha (NW Argentine Andes)

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    Argentina is a country that has represented itself over centuries as white and European. Over the last decades, however, indigenous movements have increased strongly in visibility and importance. This investigation considers this background in analysing the complex relationship between the growing importance of tourism and indigenous politics for self-determination and autonomy in the Andean village of Amaicha (NW-Argentina). The annual Pachamama celebration held by the indigenous Amaicha community presents the ideal setting for this research as it has simultaneously become a ‘national tourist festivity’ in the context of recent government efforts to promote a culturally diverse Argentina for tourism development. Through long-term ethnographic field work and by applying a methodological framework that combines the interpretation of visual material with careful empirical research this study presents a differentiated analysis of the political implications of indigenous tourism. The findings show that conflicts between the indigenous community and governmental institutions tend not to be about tourism and place promotion as such, but rather tourism has become a central arena where struggles over political control are manifested and mediated. Furthermore, cultural politics in Amaicha have recently been reassembled through both embodied practices and the use of cultural symbols during the Pachamama festivity. Finally, while relational conceptualisations of place as constituted through wider connections have gained momentum in academia, the results from this investigation show that an essentialised understanding of culture and identity as rooted in place is promoted for tourism, and emphasised by the indigenous community in order to legitimise claims for territorial and political rights. The goal of the paper is thus to contribute to a nuanced picture of emergent indigenous geographies in Argentina

    Towards automation of user interface design

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    This paper suggests an approach to automatic software design in the domain of graphical user interfaces. There are still some drawbacks in existing user interface management systems (UIMS's) which basically offer only quantitative layout specifications via direct manipulation. Our approach suggests a convenient way to get a default graphical user interface which may be customized and redesigned easily in further prototyping cycles

    Almost analytic extensions of ultradifferentiable functions with applications to microlocal analysis

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    We review and extend the description of ultradifferentiable functions by their almost analytic extensions, i.e., extensions to the complex domain with specific vanishing rate of the ∂ˉ\bar \partial-derivative near the real domain. We work in a general uniform framework which comprises the main classical ultradifferentiable classes but also allows to treat unions and intersections of such. The second part of the paper is devoted to applications in microlocal analysis. The ultradifferentiable wave front set is defined in this general setting and characterized in terms of almost analytic extensions and of the FBI transform. This allows to extend its definition to ultradifferentiable manifolds. We also discuss ultradifferentiable versions of the elliptic regularity theorem and obtain a general quasianalytic Holmgren uniqueness theorem.Comment: 48 pages; minor changes, accepted for publication in Journal of Mathematical Analysis and Applications; some typos correcte

    Resourcing Salta. Viticulture, soy farming and the contested commodification of land

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    In recent years, the increased significance and internationalisation of land tenancy and purchase has led to intensive scientific discussions. In so doing, a majority of the studies try to draw conclusions of the extent and relevance of the land rush by analysing macro-economic data and structures. In our paper, we extend this analysis by applying an ethnographic, local-regional perspective. Argentina has experienced a strong neo-liberal phase in the 1990s; modernisation and particularly globalisation of agriculture has played a central role. The intensification of land use was coupled with new actor constellations, whereby land ownership and tenancy structures changed fundamentally. Embedded in this national context we contrast two production peripheries in the province of Salta: viticulture in the Andean Calchaquí Valleys and soy farming in the Chaco lowlands. In the context of the Chaco’s soy production the agrarian restructuring goes along with the appearance of actors fol-lowing a short-term logic of capital accumulation (almost exclusively through tenancy-relationships). More often than not, so-called pooles de siembra (driven by financial capital) or national agro-actors use the Chaco Salteño as expansion territory and for risk diversification, fostering monofunctional land use. In contrast, actors of wine business in the Calchaquí Valleys follow predominantly long-term logics: Via land purchase and high-level investments in cultivation and irrigation quality wines are produced for a national and international niche market. Due to the association of wine with amenity quality and social status, a tourism and real estate boom has emerged, whereby the storing of and speculation with (surplus) capital is a crucial factor. Land becomes an attractive capital investment due to massively rising prices. The goal of our paper is to analyse and contrast land use changes in the respective study areas and, by doing so, we aim to contribute to the ongoing discussion on the current land rush/land grabbing in Latin America
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