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Linear Spaces and Approximation

Author: P L Butzer; B Szökefalvi-Nagy
Publisher: Basel : Birkhäuser Basel, 1978.
Series: International Series of Numerical Mathematics / Intermationale Schriftenreihe zur Numberischen Mathematik / Sùrie Internationale D'analyse Numùruque, 40.
Edition/Format:   eBook : Document : EnglishView all editions and formats
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: P L Butzer; B Szökefalvi-Nagy
ISBN: 9783034871808 3034871805
OCLC Number: 851780083
Description: 1 online resource (685 pages).
Contents: 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 Räumen --
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 Cesàro 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-König und Zeller Operatoren --
Global Approximation Theorems for the Szász-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 --
Über 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 Wachstumsbeschränkung --
Extreme Points of Spaces of Univalent Functions --
Lacunary Polynomial Approximation --
Müntz-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 gewöhnlicher 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.
Series Title: International Series of Numerical Mathematics / Intermationale Schriftenreihe zur Numberischen Mathematik / Sùrie Internationale D'analyse Numùruque, 40.
Responsibility: Lineare Räume 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 Oberwolfach, Schwarzwald, vom 20. bis 27. August 1977 / edited by P.L. Butzer, B. Szökefalvi-Nagy.

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