Author | Andrievskii, Vladimir V. author |
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Title | Discrepancy of Signed Measures and Polynomial Approximation [electronic resource] / by Vladimir V. Andrievskii, Hans-Peter Blatt |
Imprint | New York, NY : Springer New York : Imprint: Springer, 2002 |
Connect to | http://dx.doi.org/10.1007/978-1-4757-4999-1 |
Descript | XIV, 438 p. online resource |
1 Auxiliary Facts -- 2 Zero Distribution of Polynomials -- 3 Discrepancy Theorems via TwoโSided Bounds for Potentials -- 4 Discrepancy Theorems via One-Sided Bounds for Potentials -- 5 Discrepancy Theorems via Energy Integrals -- 6 Applications of JentzschโSzegรถ and ErdรถsโTurรกn Type Theorems -- 7 Applications of Discrepancy Theorems -- 8 Special Topics -- A Conformally Invariant Characteristics of Curve Families -- A.1 Module and Extremal Length of a Curve Family -- A.2 Reduced Module -- B Basics in the Theory of Quasiconformal Mappings -- B.1 Quasiconformal Mappings -- B.2 Quasiconformal Curves and Arcs -- C Constructive Theory of Functions of a Complex Variable -- C.1 Jackson Type Kernels -- C.2 Polynomial Kernels Approximating the Cauchy Kernel -- C.3 Inverse Theorems -- C.4 Polynomial Approximation in Domains with Smooth Boundary -- D Miscellaneous Topics -- D.1 The Regularized Distance -- D.2 Greenโs Function for a System of Intervals -- Notation