Title | Linear Spaces and Approximation / Lineare Rรคume und Approximation [electronic resource] : Proceedings of the Conference held at the Oberwolfach Mathematical Research Institute, Black Forest, August 20-27,1977 / Abhandlungen zur Tagung im Mathematischen Forschungsinstitut Oberwolfach, Schwarzwald, vom 20. bis 27. August 1977 / edited by P. L. Butzer, B. Szรถkefalvi-Nagy |
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Imprint | Basel : Birkhรคuser Basel, 1978 |
Connect to | http://dx.doi.org/10.1007/978-3-0348-7180-8 |
Descript | 685 p. 4 illus. online resource |
Zur Tagung -- List of participants -- Wissenschaftliches Programm -- I Operator Theory -- Kernel Operators -- Invariant Operator Ranges -- Diagonalization of Matrices over H? -- Biquasitriangular Operators and Quasisimilarity -- Applications of Transference: The Lp version of von Neumannโs Inequality and the Littlewood-Paley-Stein Theory -- II Topics in Functional Analysis -- An Outline of Vector Graphs and Conditional Banach Spaces -- The Exponential Map for Symmetric Operators in Spaces with an Indefinite Scalar Product -- Nonarchimedean Function Spaces -- Kodissipative metrische Projektionen in normierten linearen Rรคumen -- III Integral Operators and Inequalities -- Recent Results and Unsolved Problems on Finite Convolution Operators -- Weak-type Inequalities in Analysis -- Fractional Lipschitz Spaces Generated by Rearrangement-invariant Norms -- Some Inequalities for Fractional Integrals -- IV Harmonic Analysis -- Differentiation on a p-Adic or p-Series Field -- Remarks on Kroneckerโs Approximation Theorem and a Unitary Measure -- Lebesgue Constants for Certain Partial Sums of Fourier Series on Compact Lie Groups -- Real Function Methods in Fourier Analysis -- Lipschitz Continuity of Spherical Means -- Multiplier Representations of Sequence Spaces with Applications to Lipschitz Spaces and Spaces of Functions of Generalized Bounded Variation -- Multipliers for the Mellin Transformation -- On a Relation Between the Norms of Cesร ro Means of Jacobi Expansions -- V Approximation Processes and Interpolation -- Approximation et Analyse Harmonique -- Estimations Involving a Modulus of Continuity for a Generalization of Korovkinโs Operators -- Die lokale Lp-Saturationsklasse des Verfahrens der integralen Meyer-Kรถnig und Zeller Operatoren -- Global Approximation Theorems for the Szรกsz-Mirakjan Operators in Exponential Weight Spaces -- Approximation with Monotonic Operators in A-Distance -- Jacksonโs Theorem for Polynomials and Exponential Sums with Restricted Coefficients -- Birkhoff Quadrature Matrices -- On Some Problems in Interpolation Theory -- Bivariate and Multivariate Interpolation with Noncommutative Projectors -- รber eine Hypothese von P.P. Korovkin -- VI Best Approximation and Splines -- Lp[-1, 1] Approximation by Algebraic Polynomials -- Gewichtete beste Approximation stetiger Funktionen durch algebraische Polynome -- Erweiterung des Satzes von Markoff -- Convergence of Spline Expansions -- Direct and Converse Theorems for Onesided Approximation -- VII Complex Function Theory and Approximation -- Approximation von ebenen, harmonischen Funktionen durch solche mit Wachstumsbeschrรคnkung -- Extreme Points of Spaces of Univalent Functions -- Lacunary Polynomial Approximation -- Mรผntz-Szasz Theorems and Lacunary Entire Functions -- Structural and Approximational Properties of Functions in the Complex Domain -- VIII Differential Operators and Equations -- A Generalization of the Cauchy-Kowalevsky Theorem and Boundary Values of Solutions of Elliptic Equations -- Lax-type Theorems with Orders in Connection with Inhomogeneous Evolution Equations in Banach Spaces -- Evolution Equations in Sup-norm Context and in L2 Variational Context -- Zur Diskretisierung von Randwertaufgaben gewรถhnlicher Differentialgleichungen -- IX Probability Theory and Other Applications -- Fourier Series and Martingale Transforms -- Inverse Theorems on the Rate of Approximation for Certain Limit Theorems in Probability Theory -- Maximal Inequalities and Convergence Properties of Multiple Orthogonal Series and Random Fields -- Some Extensions of the Sampling Theorem -- A Bibliography on the Approximation of Functions by Operators of Class S2m or Sm Involving Kernels of Finite Oscillations -- A Survey of Some Results on Invariant Subspaces in Operator Theory -- New and unsolved problems -- Alphabetical list of papers -- AMS (MOS) subject classification numbers -- Key words and phrases