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Operator theory --- 51 --- Mathematics --- 51 Mathematics
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Operator theory --- Mathematical physics --- Scattering (Physics) --- Scattering (Physics).
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Operator theory --- Quantum theory --- Théorie des opérateurs --- Théorie quantique --- Operator theory. --- Quantum theory. --- Théorie des opérateurs --- Théorie quantique
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Matrices --- -Operator theory --- -517.983 --- Functional analysis --- Algebra, Matrix --- Cracovians (Mathematics) --- Matrix algebra --- Matrixes (Algebra) --- Algebra, Abstract --- Algebra, Universal --- Congresses --- Linear operators. Linear operator equations --- 517.983 Linear operators. Linear operator equations --- Operator theory --- 517.983
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The analysis of differential equations in domains and on manifolds with singularities belongs to the main streams of recent developments in applied and pure mathematics. The applications and concrete models from engineering and physics are often classical but the modern structure calculus was only possible since the achievements of pseudo-differential operators. This led to deep connections with index theory, topology and mathematical physics. The present book is devoted to elliptic partial differential equations in the framework of pseudo-differential operators. The first chapter contains t
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Outil de base dans les domaines des équations aux dérivées partielles et de l'analyse sur les variétés, les opérateurs pseudo- différentiels permettent de porter un regard neuf sur la méthode de perturbation de Nash et Moser. Analyse microlocale, théorie de Littlewood-Paley, inégalités d'énergie pour les équations hyperboliques et théorèmes de fonctions implicites sont abordés.
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Topological groups. Lie groups --- Operator theory --- Partial differential equations --- Elliptic operators --- Elliptische operatoren --- Lie [Groepen van ] --- Lie [Groupes de ] --- Lie groups --- Opérateurs elliptiques
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C*-algebras. --- Differentiable dynamical systems. --- Harmonic analysis --- Operator theory. --- Functional analysis --- Ordinary differential equations --- Ordered algebraic structures --- 517.98 --- C*-algebras --- Differentiable dynamical systems --- Operator theory --- Analysis (Mathematics) --- Functions, Potential --- Potential functions --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- 517.98 Functional analysis and operator theory --- Functional analysis and operator theory --- Algebras, C star --- Algebras, W star --- C star algebras --- W star algebras --- W*-algebras --- Banach algebras --- Calculus --- Mathematical analysis --- Mathematics --- Bessel functions --- Fourier series --- Harmonic functions --- Time-series analysis --- Differential equations --- Global analysis (Mathematics) --- Topological dynamics
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