This work is based on a series of thematic workshops on the theory of wavelets and the theory of splines. Important applications are included. The volume is divided into four parts: Spline Functions, Theory of Wavelets, Wavelets in Physics, and Splines and Wavelets in Statistics. Part one presents the broad spectrum of current research in the theory and applications of spline functions. Theory ranges from classical univariate spline approximation to an abstract framework for multivariate spline interpolation. Applications include scattered-data interpolation, differential equations and various techniques in CAGD. Part two considers two developments in subdivision schemes; one for uniform regularity and the other for irregular situations. The latter includes construction of multidimensional wavelet bases and determination of bases with a given time frequency localization. In part three, the multifractal formalism is extended to fractal functions involving oscillating singularites. There is a review of a method of quantization of classical systems based on the theory of coherent states. Wavelets are applied in the domains of atomic, molecular and condensed-matter physics. In part four, ways in which wavelets can be used to solve important function estimation problems in statistics are shown. Different wavelet estimators are proposed in the following distinct cases: functions with discontinuities, errors that are no longer Gaussian, wavelet estimation with robustness, and error distribution that is no longer stationary. Some of the contributions in this volume are current research results not previously available in monograph form. The volume features many applications and interesting new theoretical developments. Readers will find powerful methods for studying irregularities in mathematics, physics, and statistics.
Within popular music there are entire genres (jazz “standards”), styles (hip hop), techniques (sampling), and practices (covers) that rely heavily on references between music of different styles and genres. This interdisciplinary collection of essays covers a wide range of musical styles and artists to investigate intertextuality—the shaping of one text by another—in popular music. The Pop Palimpsest offers new methodologies and frameworks for the analysis of intertextuality in popular music, and provides new lenses for examining relationships between a variety of texts both musical and nonmusical. Enriched by perspectives from multiple subdisciplines, The Pop Palimpsest considers a broad range of intertextual relationships in popular music to explore creative practices and processes and the networks that intertextual practices create between artists and listeners.
One of the most celebrated filmmakers of all time, Francois Truffaut was an intensely private individual who cultivated the public image of a man completely consumed by his craft. But his personal story—from which he drew extensively to create the characters and plots of his films—is itself an extraordinary human drama. Now, with captivating immediacy, Antoine de Baecque and Serge Toubiana give us the definitive story of this beloved artist. They begin with the unwanted, mischievous child who learned to love movies and books as an escape from sadness and confusion: as a boy, Francois came to identify with screen characters and to worship actresses. Following his early adult years as a journalist, during which he gained fame as France's most iconoclastic film critic, the obsessive prodigy began to make films of his own, and before he was thirty, notched the two masterpieces The 400 Blows and Jules and Jim. As Truffaut's dazzling body of work evolves, in the shadow of the politics of his day, including the student uprisings of 1968, we watch him learning the lessons of his masters Fellini and Hitchcock. And we witness the progress of his often tempestuous personal relationships, including his violent falling-out with Jean-Luc Godard (who owed Truffaut the idea for Breathless) and his rapturous love affairs with the many glamorous actresses he directed, among them Jacqueline Bisset and Jeanne Moreau. With Fanny Ardant, Truffaut had a child only thirteen months before dying of a brain tumor at the age of fifty-two. Here is a life of astonishing emotional range, from the anguish of severe depression to the exaltation of Oscar victory. Based on unprecedented access to Truffaut's papers, including notes toward an unwritten autobiography, de Baecque and Toubiana's richly detailed work is an incomparably authoritative revelation of a singular genius.
This work is based on a series of thematic workshops on the theory of wavelets and the theory of splines. Important applications are included. The volume is divided into four parts: Spline Functions, Theory of Wavelets, Wavelets in Physics, and Splines and Wavelets in Statistics. Part one presents the broad spectrum of current research in the theory and applications of spline functions. Theory ranges from classical univariate spline approximation to an abstract framework for multivariate spline interpolation. Applications include scattered-data interpolation, differential equations and various techniques in CAGD. Part two considers two developments in subdivision schemes; one for uniform regularity and the other for irregular situations. The latter includes construction of multidimensional wavelet bases and determination of bases with a given time frequency localization. In part three, the multifractal formalism is extended to fractal functions involving oscillating singularites. There is a review of a method of quantization of classical systems based on the theory of coherent states. Wavelets are applied in the domains of atomic, molecular and condensed-matter physics. In part four, ways in which wavelets can be used to solve important function estimation problems in statistics are shown. Different wavelet estimators are proposed in the following distinct cases: functions with discontinuities, errors that are no longer Gaussian, wavelet estimation with robustness, and error distribution that is no longer stationary. Some of the contributions in this volume are current research results not previously available in monograph form. The volume features many applications and interesting new theoretical developments. Readers will find powerful methods for studying irregularities in mathematics, physics, and statistics.
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