Formal oscillatory distributions

The formal asymptotic expansion of an oscillatory integral whose phase function has one nondegenerate critical point is a formal distribution supported at the critical point which is applied to the amplitude. This formal distribution is called a formal oscillatory integral (FOI). We introduce the notion of a formal oscillatory distribution supported at a point. We prove that a formal distribution is given by some FOI if and only if it is an oscillatory distribution that has a certain nondegeneracy property. We also prove that a star product ⋆ on a Poisson manifold M is natural in the sense of Gutt and Rawnsley if and only if the formal distribution f ⊗ g ↦ ( f ⋆ g ) ( x ) is oscillatory for every x ∈ M.

International Sales and Distribution Strategies

This chapter covers the history of the international market development of the researched firms and in addition how these companies established agent networks, built sales subsidiaries worldwide, or enlisted partnerships, and how they reacted to constantly changing market developments requiring adjustments in their distribution networks. The early founders of Swiss SMEs engaged in extensive travel to promote their companies at a time when the transport infrastructure was still rudimentary. Distributors and agent networks were built and still maintained by smaller companies, at times expanded to include formal distribution partnerships. Subsidiary networks were the preferred choice of larger companies which had greater volumes per country markets. Sometimes, market entry was achieved by building or acquiring manufacturing operations. Cracking some of the most difficult markets, such as Japan, posed special challenges. And finally, when industry conditions changed, even well-planned distribution strategies needed to be changed.

Technology as an Extension of Personal Capabilities. Reflections for Organizational Development

The present work discusses the importance of the interaction between human beings and technology in the organization. Technology is frequently analyzed at the organizational level from two perspectives. For the Administration, the technology is relevant because it is evident that its use increases production. For Sociology, technology is assumed as a factor that modifies the structure and implies changes in power’s formal distribution. This paper exposes the perspective of organizational development provided with an inherent understanding of the human deeper dimensions. If technology is gaze at as an extension of the capabilities of human beings, then the analysis of the organization is improved with a better understanding of how people interact with technology. Whether technology is seen by people as an enhancer of their own faculties, a competitor who displaces them from their tasks, an active collaborator to achieve objectives, or the achiever of what is simply out of reach of the action of the human being; the study of organizational development need to take account of the interaction between people and technology. The people manifest several degrees of appropriation or rejection of technologies into the organization. Beyond what it is technology, a person attributes it meanings. For the members of an organization, sometimes technology represent a form of dehumanization, although in others it signifies a profound expression of their human dimension. This research is an exploration of these nuances in the organization.

User Interface Distribution Method Based on Pi-Calculus

The rapid growth of computing devices has led to the emergence of distributed user interfaces. A user interface is called distributed if a user can interact with it using several devices at the same time. Formal methods for designing such interfaces, in particular methods for the distribution of interface elements across multiple devices, are yet to be developed. This is the reason why every time a new application requires a distributed user interface, the latter has to be designed from scratch, rendering the entire venture economically inefficient. In order to minimize costs, unify and automate the development of distributed interfaces, we need to formulate general formal methods for designing distributed interfaces that will be independent from a particular application or device. This article paper proposes a formal distribution method based on the pi-calculus.

Development Distribution? EU Aid for Formal Audiovisual Distribution and the Case of Africa’s First Video-on-Demand Platform

This article examines the European Union’s support for formal distribution initiatives abroad, focusing on ACPCultures+, an economic development program that aims to grow the audiovisual industries of developing countries through the expansion and adaptation of the logics and mechanisms of intra-European media policies. While these distribution initiatives aim to challenge Hollywood’s reach in developing countries, their activities nevertheless foster the integration of audiovisual industries in developing countries into global media industries. At the same time, the program’s pairing of formal distribution and development aid is at times at odds with audience and industry expectations. Using data from policy documents, fieldwork in Brussels, and interviews with recipients of ACPCultures+ distribution project awards—including a detailed case study of Africa’s first VOD platform—I explore how these initiatives attempt to shape formal distribution in countries on the peripheries of large audiovisual industries.

Knowing the Unknown Beyond: ‘Italianate’ and ‘Italian’ Horror Cinema in the Twenty-First Century

Since the year 2000, European horror cinema has undergone a major revival. After the 1990s, which saw very few European horror films made, the first fifteen years of the twenty-first century witnessed a groundswell in production from France, Germany, the Netherlands, Spain, Serbia and the UK. Italy was also part of this ‘new wave’, though its horror films typically did not reach as wide an audience, nor experience the critical recognition, of its continental neighbours. Italian horror during this period also faced a great irony. Whereas several filmmakers from America and Europe pastiched the Italian horror boom of the 1960s, 1970s and 1980s with films that were widely distributed and commercially well received, Italian directors shooting horror films either in Italy or elsewhere typically lacked access to ‘formal’ distribution (Lobato, 2012) and therefore their films were not as widely seen.

Loop W(a,b) Lie conformal algebra

Fix [Formula: see text], let [Formula: see text] be the loop [Formula: see text] Lie algebra over [Formula: see text] with basis [Formula: see text] and relations [Formula: see text], where [Formula: see text]. In this paper, a formal distribution Lie algebra of [Formula: see text] is constructed. Then the associated conformal algebra [Formula: see text] is studied, where [Formula: see text] has a [Formula: see text]-basis [Formula: see text] with [Formula: see text]-brackets [Formula: see text] and [Formula: see text]. In particular, we determine the conformal derivations and rank one conformal modules of this conformal algebra. Finally, we study the central extensions and extensions of conformal modules.

The Lie Conformal Algebra of a Block Type Lie Algebra

Let L be a Lie algebra of Block type over ℂ with basis {Lα,i | α,i ∈ ℤ} and brackets [Lα,i,Lβ,j]=(β(i+1)-α(j+1)) Lα+β,i+j. In this paper, we first construct a formal distribution Lie algebra of L. Then we decide its conformal algebra B with ℂ[∂]-basis {Lα(w) | α ∈ ℤ} and λ-brackets [Lα(w)λ Lβ(w)]= (α∂+(α+β)λ) Lα+β(w). Finally, we give a classification of free intermediate series B-modules.