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Moment problems (Mathematics)  Geometry, Algebraic  Mathematical optimization
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"Many important applications in global optimization, algebra, probability and statistics, applied mathematics, control theory, financial mathematics, inverse problems, etc. can be modeled as a particular instance of the Generalized Moment Problem (GMP). This book introduces a new general methodology to solve the GMP when its data are polynomials and basic semialgebraic sets. This methodology combines semidefinite programming with recent results from real algebraic geometry to provide a hierarchy of semidefinite relaxations converging to the desired optimal value. Applied on appropriate cones, standard duality in convex optimization nicely expresses the duality between moments and positive polynomials. In the second part, the methodology is particularized and described in detail for various applications, including global optimization, probability, optimal control, mathematical finance, multivariate integration, etc., and examples are provided for each particular application."  Book cover
Mathematical optimization  Moment problems (Mathematics)  Geometry, Algebraic
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Operator theory  Moment problems (Mathematics)  Inequalities (Mathematics)  Congresses  Congresses  Congresses
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Algebra  Moment problems (Mathematics)  Problèmes des moments (mathématiques)  Matrices.  Matrices  Calculus, Operational  Algebra, Matrix  Cracovians (Mathematics)  Matrix algebra  Matrixes (Algebra)  Algebra, Abstract  Algebra, Universal
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Convex sets.  Orthogonal polynomials.  Functions of complex variables.  Theory of distributions (Functional analysis)  Moment spaces.  Moment problems (Mathematics)  Ensembles convexes.  Polynômes orthogonaux.  Fonctions d'une variable complexe.  Distributions, Théorie des (analyse fonctionnelle)  Espacetemps.  Problèmes des moments (mathématiques)
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Algebra  Moment problems (Mathematics)  Problèmes des moments (mathématiques)  Functions of complex variables  Fonctions d'une variable complexe.  Matrices.  Matrices  Calculus, Operational  Algebra, Matrix  Cracovians (Mathematics)  Matrix algebra  Matrixes (Algebra)  Algebra, Abstract  Algebra, Universal  Complex variables  Elliptic functions  Functions of real variables
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This volume contains six peerrefereed articles written on the occasion of the workshop "Operator theory, system theory and scattering theory: multidimensional generalizations and related topics", held at the BenGurion University of the Negev from June 26 to July 1, 2005. The contributions which both survey their respective fields and contain new results present a crosssection of current activity in operator theory and system theory. Topics considered include Schur analysis, hierarchical semiseparable matrices, canonical forms for pairs of quaternionic matrices, the theory of homogeneous operators, algebras of fractions of continuous functions, and moment problems. Schur analysis in its various aspects occupies more than half of the volume, and moments problems have also an important place in the papers presented here. The volume will be of interest to a wide audience of pure and applied mathematicians, electrical engineers and theoretical physicists. .
Operator theory  Schur functions  Moment problems (Mathematics)  Quaternions  Algebra, Universal  Algebraic fields  Curves  Surfaces  Numbers, Complex  Vector analysis  Calculus, Operational  Sfunctions  Schur's functions  Holomorphic functions  Operator theory.  Global analysis (Mathematics).  Operator Theory.  Analysis.  Analysis, Global (Mathematics)  Differential topology  Functions of complex variables  Geometry, Algebraic  Functional analysis  Mathematical analysis.  Analysis (Mathematics).  517.1 Mathematical analysis  Mathematical analysis
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The subject of the book includes the study of control problems for systems which are encountered in viscoelasticity, nonFickian diffusion and thermodynamic with memory. The common feature of these systems is that memory of the whole past history persists in the future. This class of systems is actively studied now, as documented in the recent book. This book will attract a diversified audience, in particular, engineers working on distributed systems, and applied mathematicians. Background of mathematics are the elements of functional analysis, which is now standard among people working on distributed systems, and the author describes very clearly the instruments which are used at every step.
Automatic control.  Control engineering  Control equipment  Control theory  Engineering instruments  Automation  Programmable controllers  Systems theory.  Functional analysis.  Systems Theory, Control.  Complex Systems.  Functional Analysis.  Functional calculus  Calculus of variations  Functional equations  Integral equations  Distributed parameter systems  Moment problems (Mathematics)  Calculus, Operational  Systems, Distributed parameter  Engineering systems  System analysis  Dynamics  Machine theory  System theory.  Systems, Theory of  Systems science  Science  Philosophy
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Operator theory  Complex analysis  51 <082.1>  MathematicsSeries  Schur functions  Interpolation spaces.  Moment problems (Mathematics)  Lyapunov functions.  Schur, Fonctions de  Espaces d'interpolation  Problèmes des moments (mathématiques)  Interpolataion spaces  Lyapunov functions  Sfunctions  Schur's functions  Holomorphic functions  Calculus, Operational  Functions, Liapunov  Liapunov functions  Differential equations  Schur, Fonctions de.  Espaces d'interpolation.
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