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Partial *- Algebras and Their Operator Realizations
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).
Coherent States, Wavelets, and Their Generalizations
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...
Partial Inner Product Spaces
Partial Inner Product (PIP) Spaces are ubiquitous, e.g. Rigged Hilbert spaces, chains of Hilbert or Banach spaces (such as the Lebesgue spaces Lp over the real line), etc. In fact, most functional spaces used in (quantum) physics and in signal processing are of this type. The book contains a systematic analysis of PIP spaces and operators defined on them. Numerous examples are described in detail and a large bibliography is provided. Finally, the last chapters cover the many applications of PIP spaces in physics and in signal/image processing, respectively. As such, the book will be useful both for researchers in mathematics and practitioners of these disciplines.
Two-Dimensional Wavelets and their Relatives
Two-dimensional wavelets offer a number of advantages over discrete wavelet transforms, in particular for analysis of real-time signals. This book provides thorough and comprehensive treatment of 2-D wavelets, with extensive use of practical applications and illustrative examples throughout. For engineers, physicists and mathematicians.
Zoological Philosophy
Lamarck outlined his theory of 'soft inheritance', which influenced Darwin, in this 1809 work, eventually translated into English in 1914.
Four by Truffaut
From the film director behind his creation, Four gives readers an exclusive look at the adventures of Antoine Doinel through the screenplays and stills of the four films he appears in. Thought by many to be the fictional alter ego of Francois Truffaut, Antoine Doinel, played in all movies by Jean-Pierre Leaud, was a fictional character created by Truffaut that depicted many of his own memories ranging from childhood through divorce. Four is an enchanting look at the character of Antoine through screenplays and stills from four of Truffaut’s most well-known films: The 400 Blows, Love at Twenty, Stolen Kisses, and Bed and Board.
Taiwan Cinema, Memory, and Modernity
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...
The Land and the Loom
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...
The Anatomy of a Scientific Institution
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.
