Linear Spaces and Approximation / 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

Front Matter....Pages 1-9
Zur Tagung....Pages 11-11
List of participants....Pages 13-15
Wissenschaftliches Programm....Pages 17-19
Front Matter....Pages 21-21
Kernel Operators....Pages 23-31
Invariant Operator Ranges....Pages 33-36
Diagonalization of Matrices over H ∞ ....Pages 37-46
Biquasitriangular Operators and Quasisimilarity....Pages 47-52
Applications of Transference: The L p Version of von Neumann’s Inequality and the Littlewood-Paley-Stein Theory....Pages 53-67
Front Matter....Pages 69-69
An Outline of Vector Graphs and Conditional Banach Spaces....Pages 71-89
The Exponential Map for Symmetric Operators in Spaces with an Indefinite Scalar Product....Pages 91-99
Nonarchimedean Function Spaces....Pages 101-117
Kodissipative Metrische Projektionen in Normierten Linearen Räumen....Pages 119-130
Front Matter....Pages 131-131
Recent Results and Unsolved Problems on Finite Convolution Operators....Pages 133-150
Weak-Type Inequalities in Analysis....Pages 151-162
Fractional Lipschitz Spaces Generated by Rearrangement-Invariant Norms....Pages 163-175
Some Inequalities for Fractional Integrals....Pages 177-184
Front Matter....Pages 185-185
Differentiation on a p-Adic Or p-Series Field....Pages 187-198
Remarks on the Kronecker’s Approximation Theorem and a Unitary Measure....Pages 199-202
Lebesgue Constants for Certain Partial Sums of Fourier Series on Compact Lie Groups....Pages 203-211
Real Function Methods in Fourier Analysis....Pages 213-227
Front Matter....Pages 185-185
Lipschitz Continuity of Spherical Means....Pages 229-234
Multiplier Representations of Sequence Spaces with Applications to Lipschitz Spaces and Spaces of Functions of Generalized Bounded Variation....Pages 235-245
Multipliers for the Mellin Transformation....Pages 247-249
On a Relation between the Norms of Cesaro Means of Jacobi Expansions....Pages 251-262
Front Matter....Pages 263-263
Approximation Et Analyse Harmonique....Pages 265-288
Estimations Involving a Modulus of Continuity for a Generalization of Korovkin’s Operators....Pages 289-303
Die Lokale L p — Saturationsklasse des Verfahrens der Integralen Meyer — König und Zeller Operatoren....Pages 305-317
Global Approximation Theorems for the Szász-Mirakjan Operators in Exponential Weight Spaces....Pages 319-333
Approximation With Monotonic Operators in A-Distance....Pages 335-341
Jackson’s Theorem for Polynomials and Exponential Sums with Restricted Coefficients....Pages 343-358
Birkhoff Quadrature Matrices....Pages 359-374
On some Problems in Interpolation Theory....Pages 375-380
Bivariate and Multivariate Interpolation with Noncommutative Projectors....Pages 381-387
Über Eine Hypothese von P.P. Korovkin....Pages 389-393
Front Matter....Pages 395-395
L p [-1, 1] Approximation by Algebraic Polynomials....Pages 397-406
Gewichtete Beste Approximation Stetiger Funktionen durch Algebraische Polynome....Pages 407-421
Erweiterung des Satzes von Markoff....Pages 423-431
Convergence of Spline Expansions....Pages 433-448
Direct and Converse Theorems for Oneside Approximation....Pages 449-458
Front Matter....Pages 459-459
Approximation von Ebenen Harmonischen Funktionen Durch Solche mit Wachstumsbeschränkung....Pages 461-469
Front Matter....Pages 459-459
Extreme Points of Spaces of Univalent Functions....Pages 471-477
Lacunary Polynomial Approximation....Pages 479-489
Müntz-Szasz Theorems and Lacunary Entire Functions....Pages 491-501
Structural and Approximational Properties of Functions in the Complex Domain....Pages 503-514
Front Matter....Pages 515-515
A Generalization of the Cauchy-Kowalevsky Theorem and Boundary Values of Solutions of Elliptic Equations....Pages 517-529
Lax-Type Theorems with Orders in Connection with Inhomogeneous Evolution Equations in Banach Spaces....Pages 531-546
Evolution Equations in Sup-Norm Context And in L 2 Variational Context....Pages 547-558
Zur Diskretisierung von Randwertaufgaben Gewöhnlicher Differentialgleichungen....Pages 559-567
Front Matter....Pages 569-569
Fourier Series and Martingale Transforms....Pages 571-581
Inverse Theorems on the Rate of Approximation for Certain Limit Theorems in Probability Theory....Pages 583-601
Maximal Inequalities and Convergence Properties of Multiple Orthogonal Series and Random Fields....Pages 603-614
Some Extensions of the Sampling Theorem....Pages 615-628
A Bibliography on the Approximation of Functions by Operators of Class S 2m or S m Involving Kernels of Finite Oscillations....Pages 629-639
A Survey of Some Results on Invariant Subspaces in Operator Theory....Pages 641-657
New and Unsolved Problems....Pages 659-671
Back Matter....Pages 673-685