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This second edition is fully updated, covering in particular new types of coherent states (the so-called Gazeau-Klauder coherent states, nonlinear coherent states, squeezed states, as used now routinely in quantum optics) and various generalizations of wavelets (wavelets on manifolds, curvelets, shearlets, etc.). In addition, it contains a new chapter on coherent state quantization and the related probabilistic aspects. As a survey of the theory of coherent states, wavelets, and some of their generalizations, it emphasizes mathematical principles, subsuming the theories of both wavelets and coherent states into a single analytic structure. The approach allows the user to take a classical-lik...
In the modern imagination the peasant survives as a creature of the land, suspicious of the outside world and resistant to change, either the repository of pristine innocence and virtue or the manifestation of everything nasty, brutish, and at best dull. The Land and the Loom replaces this picture with a richly textured, deeply researched portrait of the peasant's life and world in northern France in the early modern period. Supported by evidence culled from parish registers, notarial records, and judicial archives, this masterful depiction of village life, detailing the development of the linen weaving trade in Montigny, revises accepted notions of the peasant's place in rural industry. The...
Algebras of bounded operators are familiar, either as C*-algebras or as von Neumann algebras. A first generalization is the notion of algebras of unbounded operators (O*-algebras), mostly developed by the Leipzig school and in Japan (for a review, we refer to the monographs of K. Schmüdgen [1990] and A. Inoue [1998]). This volume goes one step further, by considering systematically partial *-algebras of unbounded operators (partial O*-algebras) and the underlying algebraic structure, namely, partial *-algebras. It is the first textbook on this topic. The first part is devoted to partial O*-algebras, basic properties, examples, topologies on them. The climax is the generalization to this new framework of the celebrated modular theory of Tomita-Takesaki, one of the cornerstones for the applications to statistical physics. The second part focuses on abstract partial *-algebras and their representation theory, obtaining again generalizations of familiar theorems (Radon-Nikodym, Lebesgue).
This volume presents a catalogue of over 2000 doctoral theses by Africans in all fields of mathematics, including applied mathematics, mathematics education and history of mathematics. The introduction contains information about distribution by country, institutions, period, and by gender, about mathematical density, and mobility of mathematicians. Several appendices are included (female doctorate holders, doctorates in mathematics education, doctorates awarded by African universities to non-Africans, doctoral theses by non-Africans about mathematics in Africa, activities of African mathematicians at the service of their communities). Paulus Gerdes compiled the information in his capacity of Chairman of the African Mathematical Union Commission for the History of Mathematics in Africa (AMUCHMA). The book contains a preface by Mohamed Hassan, President of the African Academy of Sciences (AAS) and Executive Director of the Academy of Sciences for the Developing World (TWAS). (383 pp.)
Since its emergence as an important research area in the early 1980s, the topic of wavelets has undergone tremendous development on both theoretical and applied fronts. Myriad research and survey papers and monographs have been published on the subject, documenting different areas of applications such as sound and image processing, denoising, data compression, tomography, and medical imaging. The study of wavelets remains a very active field of research, and many of its central techniques and ideas have evolved into new and promising research areas. This volume, a collection of invited contributions developed from talks at an international conference on wavelets, is divided into three parts:...
This book investigates the aesthetics and politics of Post/Taiwan-New-Cinema by examining fifteen movies by six directors and frequent award winners in international film festivals. The book considers the works of such prominent directors as Edward Yang, Tsai Ming-liang and Chang Tsuo-chi and their influence on Asian films, as well as emergent phenomenal directors such as Wei Te-sheng, Zero Chou, and Chung Mong-hong. It also explores the possibility of transnational and trans-local social sphere in the interstices of layered colonial legacies, nation-state domination, and global capitalism. Considering Taiwan cinema in the wake of globalization, it analyses how these films represent the soci...
In his encyclical Aeterni Patris (1879), Pope Leo XIII expressed the conviction that the renewed study of the philosophical legacy of Saint Thomas Aquinas would help Catholics to engage in a dialogue with secular modernity while maintaining respect for Church doctrine and tradition. As a result, the neo-scholastic framework dominated Catholic intellectual production for nearly a century thereafter. This volume assesses the societal impact of the Thomist revival movement, with particular attention to the juridical dimension of this epistemic community. Contributions from different disciplinary backgrounds offer a multifaceted and in-depth analysis of many different networks and protagonists o...
First multi-year cumulation covers six years: 1965-70.
This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1971.