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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.
Dr. Joseph M. Gambescia, a pious, devout student for seeking God's grace, wrote Reflections... during his pilgrimage to the canonization of John Neumann. He was one of two physicians (Dr. William Zintl) appointed by the Vatican in November 1962 to examine the body of Blessed John Neumann, buried in St. Peter the Apostle Church in Philadelphia. He re-examined the body in 1964 at the request of the director of the Shrine of Blessed John Neumann. Subsequently, he reviewed medical records of several people for the director of the national shrine, to help validate any medical miracles. Dr. Gambescia took a pilgrimage to Rome in 1977 during the canonization of John N. Neumann (he was the third American saint at that time and the first male saint). He gives a unique layman's perspective as one who had touched a saint, worked tirelessly to heal the sick, and thought about the enduring questions in life: Who am I? What is my purpose in life? What is my relationship to other people in this world? What is my relationship to God? How do I best live the Magis?
Now, for the first time ever, there is a study of the poetry of Charles of Orleans that considers together the English, French, and Latin versions of this large and important body of lyric. Charles was a captive in England following the battle of Agincourt, pulled literally from beneath a heap of bodies and armor. During his twenty-five-year imprisonment, Charles wrote hundreds of poems in French and English, including the over 6,500 lines that form the first single-author lyric book in English. Coldiron analyzes several aspects of the poetry's significance, including its positions in literary history and theory, and its unusual challenges to medieval and Renaissance period categories. This well-written book explores Charles's poetic subjectivity and also presents unprecedented original primary research on the poet's final manuscript, a French-Latin book in facing column format. With theoretical sophistication, literary sensitivity, a richly contextualizing comparative method, and common sense, Coldiron argues that these translations connect cultures, languages, and literary traditions that were undergoing a crucial moment of conflict and separation just before the Tudor period.
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