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Noah --- In the Qurʼan.

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A collection of invited chapters dedicated to Carlos Segovia, this unified and self-contained volume examines recent developments in real and harmonic analysis. The work begins with a chronological description of Segovia’s mathematical life, his original ideas and their evolution, which may be a source of inspiration for many mathematicians working in the fields of harmonic analysis, functional analysis, and partial differential equations. Apart from this contribution, two different types of chapters are featured in the work: surveys dealing with Carlos’ favorite topics, and PDE works written by students and colleagues close to Segovia whose careers were in some way influenced by him. Specific topics covered include: * Vector-valued singular integral equations * Harmonic analysis related to Hermite expansions * Gas flow in porous media * Global well-posedness of the KPI Equation * Monge–Ampère type equations and applications * Spaces of homogeneous type * Hardy and Lipschitz spaces * One-sided operators This book will be useful to graduate students as well as pure and applied mathematicians interested in new mathematical developments in areas related to real and harmonic analysis. Contributors: H. Aimar, A. Bonami, O. Blasco, L.A. Caffarelli, S. Chanillo, J. Feuto, L. Forzani, C.E. Gutíerrez, E. Harboure, A.L. Karakhanyan, C.E. Kenig, R.A. Macías, J.J. Manfredi, F.J. Martín-Reyes, P. Ortega, R. Scotto, A. de la Torre, J.L. Torrea.

Hardy spaces. --- Harmonic analysis. --- Harmonic functions. --- Lipschitz spaces. --- Harmonic analysis --- Harmonic functions --- Hardy spaces --- Lipschitz spaces --- Operations Research --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Hölder spaces --- Functions, Harmonic --- Laplace's equations --- Analysis (Mathematics) --- Functions, Potential --- Potential functions --- Spaces, Hardy --- Mathematics. --- Mathematical analysis. --- Analysis (Mathematics). --- Fourier analysis. --- Partial differential equations. --- Functions of real variables. --- Applied mathematics. --- Engineering mathematics. --- Abstract Harmonic Analysis. --- Fourier Analysis. --- Real Functions. --- Analysis. --- Partial Differential Equations. --- Appl.Mathematics/Computational Methods of Engineering. --- Banach algebras --- Calculus --- Mathematical analysis --- Mathematics --- Bessel functions --- Fourier series --- Time-series analysis --- Function spaces --- Differential equations, Partial --- Lamé's functions --- Spherical harmonics --- Toroidal harmonics --- Functional analysis --- Functions of complex variables --- Global analysis (Mathematics). --- Differential equations, partial. --- Mathematical and Computational Engineering. --- Analysis, Global (Mathematics) --- Differential topology --- Geometry, Algebraic --- Math --- Science --- Analysis, Fourier --- Engineering --- Engineering analysis --- Partial differential equations --- 517.1 Mathematical analysis --- Real variables

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Critical scholarship on the Qur'ān and early Islam has neglected the enigmatic earliest surahs. Advocating a more evolutionary analytical method, this book argues that the basal surahs are logical, clear, and intelligible compositions. The analysis systematically elucidates the apocalyptic context of the Qur'ān's most archaic layers. Decisive new explanations are given for classic problems such as what the surah of the elephant means, why an anonymous man is said to frown and turn away from a blind man, why the prophet is summoned as one who wraps or cloaks himself, and what the surah of the qadr refers to. Grounded in contemporary context, the analysis avoids reducing these innovative recitations to Islamic, Jewish, or Christian models. By capitalizing on recent advances in fields such as Arabian epigraphy, historical linguistics, Manichaean studies, and Sasanian history, a very different picture of the early quranic milieu emerges. This picture challenges prevailing critical and traditional models alike. Against the view that quranic revelation was a protracted process, the analysis suggests a more compressed timeframe, in which Mecca played relatively little role. The analysis further demonstrates that the earliest surahs were already intimately connected to the progression of the era's cataclysmic Byzantine-Sasanian war. All scholars interested in the Qur'ān, early Islam, late antique history, and the apocalyptic genre will be interested in the book's dynamic new approach to resolving intractable problems in these areas.

Anders --- Anonymous --- Apocalypse --- Beck --- Carlos --- Charismatic --- Daniel --- Early --- Evolution --- Isaac --- Meagan --- Oliver --- Petersen --- Prophet --- Qur'ān --- Segovia --- Simpson

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