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Operator theory --- Product formulas (Operator theory) --- Selfadjoint operators --- Semigroups of operators --- Operators, Semigroups of --- Operators, Selfadjoint --- Self-adjoint operators --- Linear operators --- Formulas, Product --- Selfadjoint operators. --- Semigroups of operators. --- Semigroupes d'opérateurs. --- Opérateurs auto-adjoints.

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This is the first monograph devoted to the Sturm oscillatory theory for infinite systems of differential equations and its relations with the spectral theory. It aims to study a theory of self-adjoint problems for such systems, based on an elegant method of binary relations. Another topic investigated in the book is the behavior of discrete eigenvalues which appear in spectral gaps of the Hill operator and almost periodic Schrödinger operators due to local perturbations of the potential (e.g., modeling impurities in crystals). The book is based on results that have not been presented in other

Spectral theory (Mathematics) --- Differential operators. --- Selfadjoint operators. --- Hilbert space. --- Operator theory. --- Functional analysis --- Banach spaces --- Hyperspace --- Inner product spaces --- Operators, Selfadjoint --- Self-adjoint operators --- Linear operators --- Hilbert space --- Measure theory --- Transformations (Mathematics) --- Operators, Differential --- Differential equations --- Operator theory

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Functional analysis --- Nonselfadjoint operators. --- Opérateurs non auto-adjoints. --- Functional analysis. --- Analyse fonctionnelle. --- Hardy classes. --- Hardy, Classes de. --- Hardy classes --- Nonselfadjoint operators --- Non-self-adjoint operators --- Operators, Non-self-adjoint --- Operators, Nonselfadjoint --- Linear operators --- Classes, Hardy --- Hp classes --- Function algebras --- Functions of complex variables --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations

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Nonselfadjoint operators --- Compact operators --- 517.983 --- Non-self-adjoint operators --- Operators, Non-self-adjoint --- Operators, Nonselfadjoint --- Linear operators --- Compact transformations --- Completely continuous operators --- Operators, Compact --- Operators, Completely continuous --- Transformations, Compact --- Linear operators. Linear operator equations --- Compact operators. --- Nonselfadjoint operators. --- 517.983 Linear operators. Linear operator equations --- Opérateurs linéaires. --- Linear operators. --- Fredholm, Opérateurs de --- Fredholm operators --- Opérateurs compacts --- Opérateurs linéaires. --- Fredholm, Opérateurs de --- Opérateurs compacts. --- Fredholm, Opérateurs de.

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This book offers a panorama of recent advances in the theory of infinite groups. It contains survey papers contributed by leading specialists in group theory and other areas of mathematics. Topics addressed in the book include amenable groups, Kaehler groups, automorphism groups of rooted trees, rigidity, C*-algebras, random walks on groups, pro-p groups, Burnside groups, parafree groups, and Fuchsian groups. The accent is put on strong connections between group theory and other areas of mathematics, such as dynamical systems, geometry, operator algebras, probability theory, and others. This interdisciplinary approach makes the book interesting to a large mathematical audience. Contributors: G. Baumslag A.V. Borovik T. Delzant W. Dicks E. Formanek R. Grigorchuk M. Gromov P. de la Harpe A. Lubotzky W. Lück A.G. Myasnikov C. Pache G. Pisier A. Shalev S. Sidki E. Zelmanov.

Infinite groups. --- Ergodic theory. --- Selfadjoint operators. --- Differential topology. --- Geometry, Differential --- Topology --- Operators, Selfadjoint --- Self-adjoint operators --- Linear operators --- Ergodic transformations --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Groups, Infinite --- Group theory --- Group theory. --- Topological Groups. --- Combinatorics. --- Operator theory. --- Global differential geometry. --- Algebraic topology. --- Group Theory and Generalizations. --- Topological Groups, Lie Groups. --- Operator Theory. --- Differential Geometry. --- Algebraic Topology. --- Functional analysis --- Combinatorics --- Algebra --- Mathematical analysis --- Groups, Topological --- Groups, Theory of --- Substitutions (Mathematics) --- Topological groups. --- Lie groups. --- Differential geometry. --- Differential geometry --- Groups, Lie --- Lie algebras --- Symmetric spaces --- Topological groups