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ora canonica - the hour of prayers, the hour of meeting, the hour leading to a rite of passage.
Laurel Marena's latest literary work, a two-act psychological play, begins as seven characters, one by one, enter into a dark place, each one receiving a lit candle. The scene is set for them to challenge issues of morality in light of their own life experiences. Each must follow his own quest for truth; one may find emerging belief reflected in the aspect of a fellow traveller, while another may find revelation deep within himself. There exists a belief amongst some of the most 'elevated' that they need occupy no time, nor manifest any concern with the pedestrian doubts of lesser mortals. Only six of these people, one by one, will exit by a passage to the unknown. One will stand alone, in darkness.
The present book deals with canonical factorization of matrix and operator functions that appear in state space form or that can be transformed into such a form. A unified geometric approach is used. The main results are all expressed explicitly in terms of matrices or operators, which are parameters of the state space representation. The applications concern different classes of convolution equations: the transport equation, singular integral equations, Wiener-Hopf equations with symbols analytic in a strip, and equations involving factorization of non-proper rational matrix functions. The analysis of canonical factorization for functions with symmetries, including spectral and J-spectral factorizations, related Ricatti equations, and elements of H-infinity control theory are also main topics.This book is the second book written by the four authors in which the state space factorization method is systematically used and developed further. In their first book, released in 2007, the emphasis is on non-canonical factorizations and degree one factorizations, in particular. The present book concentrates on canonical factorization and its applications. Together both books present a rich and far reaching update of the 1979 monograph, the first book in the OTAA series, written by the first three authors.
Taoism remains the only major religion whose canonical texts have not been systematically arranged and made available for study. This long-awaited work, a milestone in Chinese studies, catalogs and describes all existing texts within the Taoist canon. The result will not only make the entire range of existing Taoist texts accessible to scholars of religion, it will open up a crucial resource in the study of the history of China.
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