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Mathematical potential theory  517.57  Harmonic functions and their generalizations. Subharmonic functions. Polyharmonic functions. Plurisubharmonic functions  Harmonic functions.  Potential theory (Mathematics)  Potential theory (Mathematics).  517.57 Harmonic functions and their generalizations. Subharmonic functions. Polyharmonic functions. Plurisubharmonic functions  Harmonic functions  Fonctions harmoniques  Potentiel, Théorie du
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Stochastic processes  Mathematical potential theory  517.57  519.217.5  Harmonic functions and their generalizations. Subharmonic functions. Polyharmonic functions. Plurisubharmonic functions  Additive functionals. Probabilistic potential theory  519.217.5 Additive functionals. Probabilistic potential theory  517.57 Harmonic functions and their generalizations. Subharmonic functions. Polyharmonic functions. Plurisubharmonic functions  Theorie du potentiel  Theorie probabiliste
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Harmonic analysis. Fourier analysis  Harmonic functions  517.57  Functions, Harmonic  Laplace's equations  Bessel functions  Differential equations, Partial  Fourier series  Harmonic analysis  Lamé's functions  Spherical harmonics  Toroidal harmonics  Harmonic functions and their generalizations. Subharmonic functions. Polyharmonic functions. Plurisubharmonic functions  Harmonic functions.  517.57 Harmonic functions and their generalizations. Subharmonic functions. Polyharmonic functions. Plurisubharmonic functions
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Mathematical potential theory  Potential theory (Mathematics)  517.57  Green's operators  Green's theorem  Potential functions (Mathematics)  Potential, Theory of  Mathematical analysis  Mechanics  Harmonic functions and their generalizations. Subharmonic functions. Polyharmonic functions. Plurisubharmonic functions  Potential theory (Mathematics).  517.57 Harmonic functions and their generalizations. Subharmonic functions. Polyharmonic functions. Plurisubharmonic functions  Theorie du potentiel
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Finite element method  Invariants  Mathematical physics  517.57  517.57 Harmonic functions and their generalizations. Subharmonic functions. Polyharmonic functions. Plurisubharmonic functions  Harmonic functions and their generalizations. Subharmonic functions. Polyharmonic functions. Plurisubharmonic functions  Physical mathematics  Physics  FEA (Numerical analysis)  FEM (Numerical analysis)  Finite element analysis  Numerical analysis  Isogeometric analysis  Mathematics  Function spaces  Banach spaces  Poisson integral formula  Hardy spaces  Lipschitz spaces  Harmonic functions
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Complex analysis  Analytical spaces  517.982  Hardy spaces  #TCPW W8.0  517.57  Spaces, Hardy  Functional analysis  Functions of complex variables  Linear spaces with topology and order or other structures  Harmonic functions and their generalizations. Subharmonic functions. Polyharmonic functions. Plurisubharmonic functions  Hardy spaces.  517.57 Harmonic functions and their generalizations. Subharmonic functions. Polyharmonic functions. Plurisubharmonic functions  517.982 Linear spaces with topology and order or other structures
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Calculus of variations.  Functions of bounded variation.  517.57  Harmonic functions and their generalizations. Subharmonic functions. Polyharmonic functions. Plurisubharmonic functions  517.57 Harmonic functions and their generalizations. Subharmonic functions. Polyharmonic functions. Plurisubharmonic functions  Calculus of variations  Functions of bounded variation  Bounded variables, Functions of  Bounded variation, Functions of  BV functions  Functions of bounded variables  Functions of real variables  Isoperimetrical problems  Variations, Calculus of  Maxima and minima
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These lecture notes are devoted to an area of current research interest that bridges functional analysis and function theory. The unifying theme is the notion of subharmonicity with respect to a uniform algebra. The topics covered include the rudiments of Choquet theory, various classes of representing measures, the duality between abstract subharmonic functions and Jensen measures, applications to problems of approximation of plurisubharmonic functions of several complex variables, and Cole's theory of estimates for conjugate functions. Many of the results are published here for the first time in monograph form.
Uniform algebras.  Measure theory.  Jensen measures.  Lebesgue measure  Measurable sets  Measure of a set  Algebraic topology  Integrals, Generalized  Measure algebras  Rings (Algebra)  Algebras, Uniform  Banach algebras  Commutative algebra  Function algebras  Jensen measures  Measure theory  Uniform algebras  517.57  517.57 Harmonic functions and their generalizations. Subharmonic functions. Polyharmonic functions. Plurisubharmonic functions  Harmonic functions and their generalizations. Subharmonic functions. Polyharmonic functions. Plurisubharmonic functions  Algèbres uniformes  Mesure, Théorie de la  Analytical spaces  Harmonic analysis. Fourier analysis
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Potential theory (Mathematics)  Harmonic functions  Martingales (Mathematics)  Potentiel, Théorie du  Fonctions harmoniques  Martingales (Mathématiques)  517.57  Green's operators  Green's theorem  Potential functions (Mathematics)  Potential, Theory of  Mathematical analysis  Mechanics  Stochastic processes  Functions, Harmonic  Laplace's equations  Bessel functions  Differential equations, Partial  Fourier series  Harmonic analysis  Lamé's functions  Spherical harmonics  Toroidal harmonics  Harmonic functions and their generalizations. Subharmonic functions. Polyharmonic functions. Plurisubharmonic functions  Harmonic functions.  Martingales (Mathematics).  Potential theory (Mathematics).  517.57 Harmonic functions and their generalizations. Subharmonic functions. Polyharmonic functions. Plurisubharmonic functions  Potentiel, Théorie du  Martingales (Mathématiques)  Mathematical potential theory  Probability theory  Processus stochastiques  Probabilités.  Probabilities  Stochastic processes.  Probabilités  Probabilities.  Theorie du potentiel  Theorie probabiliste
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Conformal mapping  Harmonic functions  Potential theory (Mathematics)  517.57  517.57 Harmonic functions and their generalizations. Subharmonic functions. Polyharmonic functions. Plurisubharmonic functions  Harmonic functions and their generalizations. Subharmonic functions. Polyharmonic functions. Plurisubharmonic functions  Green's operators  Green's theorem  Potential functions (Mathematics)  Potential, Theory of  Mathematical analysis  Mechanics  Functions, Harmonic  Laplace's equations  Bessel functions  Differential equations, Partial  Fourier series  Harmonic analysis  Lamé's functions  Spherical harmonics  Toroidal harmonics  Conformal representation of surfaces  Mapping, Conformal  Transformation, Conformal  Geometric function theory  Mappings (Mathematics)  Surfaces, Representation of  Transformations (Mathematics)  Mathematical potential theory
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