Butzer

Linear Spaces and Approximation / Lineare Raume und Approximation: Proceedings of the Conference held at the Oberwolfach Mathematical Research Institute, Black Forest, August 20-27,1977 / Abhandlungen zur Tagung im Mathematischen Forschungsinstitut Oberw Butzer

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 Neumann's 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 Raumen.- 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 Kronecker's 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 Cesaro Means of Jacobi Expansions.- V Approximation Processes and Interpolation.- Approximation et Analyse Harmonique.- Estimations Involving a Modulus of Continuity for a Generalization of Korovkin's Operators.- Die lokale Lp-Saturationsklasse des Verfahrens der integralen Meyer-Konig und Zeller Operatoren.- Global Approximation Theorems for the Szasz-Mirakjan Operators in Exponential Weight Spaces.- Approximation with Monotonic Operators in A-Distance.- Jackson's 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.- Uber 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 Wachstumsbeschrankung.- Extreme Points of Spaces of Univalent Functions.- Lacunary Polynomial Approximation.- Muntz-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 gewohnlicher 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.