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E. Magenes: Il problema della derivata obliqua regolare per le equazioni lineari ellittico-paraboliche del secondo ordine in m variabili.- G. Stampacchia: Completamenti funzionali ed applicazione alla teoria dei potenziali di dominio.- A. Zygmund: On regular integrals.- S. Faedo: Applicazione ai problemi di derivata obliqua di un principio esistenziale e di una legge di dualità fra le formule di maggiorazione.- G. Fichera: Una introduzione alla teoria delle equazioni integrali singolari.
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Electronics --- Computer. Automation --- digitale signaalverwerking --- beeldverwerking --- Fourieranalyse --- DSP (digitale signaalprocessoren)
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Littlewood-Paley theory is an essential tool of Fourier analysis, with applications and connections to PDEs, signal processing, and probability. It extends some of the benefits of orthogonality to situations where orthogonality doesn't really make sense. It does so by letting us control certain oscillatory infinite series of functions in terms of infinite series of non-negative functions. Beginning in the 1980s, it was discovered that this control could be made much sharper than was previously suspected. The present book tries to give a gentle, well-motivated introduction to those discoveries, the methods behind them, their consequences, and some of their applications.
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Harmonic analysis. Fourier analysis --- Probability theory --- Fourieranalyse --- waarschijnlijkheidstheorie
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The book targets undergraduate and postgraduate mathematics students and helps them develop a deep understanding of mathematical analysis. Designed as a first course in real analysis, it helps students learn how abstract mathematical analysis solves mathematical problems that relate to the real world. As well as providing a valuable source of inspiration for contemporary research in mathematics, the book helps students read, understand and construct mathematical proofs, develop their problem-solving abilities and comprehend the importance and frontiers of computer facilities and much more. It offers comprehensive material for both seminars and independent study for readers with a basic knowledge of calculus and linear algebra. The first nine chapters followed by the appendix on the Stieltjes integral are recommended for graduate students studying probability and statistics, while the first eight chapters followed by the appendix on dynamical systems will be of use to students of biology and environmental sciences. Chapter 10 and the appendixes are of interest to those pursuing further studies at specialized advanced levels. Exercises at the end of each section, as well as commentaries at the end of each chapter, further aid readers’ understanding. The ultimate goal of the book is to raise awareness of the fine architecture of analysis and its relationship with the other fields of mathematics.
Algebra --- Harmonic analysis. Fourier analysis --- Mathematics --- Fourieranalyse --- algebra --- wiskunde
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Electronics --- Telecommunication technology --- synchronisatie --- Fourieranalyse --- coderen --- datacommunicatie --- MODEM (modulator/demodulator)
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This book provides an introduction to the theory and applications of point processes, both in time and in space. Presenting the two components of point process calculus, the martingale calculus and the Palm calculus, it aims to develop the computational skills needed for the study of stochastic models involving point processes, providing enough of the general theory for the reader to reach a technical level sufficient for most applications. Classical and not-so-classical models are examined in detail, including Poisson–Cox, renewal, cluster and branching (Kerstan–Hawkes) point processes.The applications covered in this text (queueing, information theory, stochastic geometry and signal analysis) have been chosen not only for their intrinsic interest but also because they illustrate the theory. Written in a rigorous but not overly abstract style, the book will be accessible to earnest beginners with a basic training in probability but will also interest upper graduate students and experienced researchers.
Harmonic analysis. Fourier analysis --- Probability theory --- Fourieranalyse --- waarschijnlijkheidstheorie
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Electrical engineering --- Fourieranalyse --- RLC (resistance-inductance-capacitance) --- Laplacetransformatie --- elektrische circuits