Functional Analysis and Approximation: Proceedings of the Conference held at the Mathematical Research Institute at Oberwolfach

Front Matter....Pages 1-10
Zur Tagung....Pages 11-11
List of Participants....Pages 12-14
Program of the Sessions....Pages 15-17
Jacob Lionel Bakst Cooper — In Memoriam....Pages 19-23
A Testimony from a Friend....Pages 25-26
Front Matter....Pages 27-27
Fixed Points of Certain Maps on Positive Semidefinite Operators....Pages 29-38
A Remark on the Spectral Bound of the Generator of Semigroups of Positive Operators with Applications to Stability Theory....Pages 39-50
Local Operators, Regular Sets, and Evolution Equations of Diffusion Type....Pages 51-71
An Outline of the Spectral Theory of Propagators....Pages 73-84
On Generalized Inverses and Operator Ranges....Pages 85-96
Front Matter....Pages 97-97
Modular Approximation by a Filtered Family of Linear Operators....Pages 99-110
Interpolation between H 1 and L ∞ ....Pages 111-116
The Franklin Orthogonal System as Unconditional Basis in Re H 1 and VMO....Pages 117-125
Front Matter....Pages 127-127
Bessel Potential Spaces and Generalized Lipschitz Spaces on Local Fields....Pages 129-137
On the Minimum Norm Property of the Fourier Projection in L 1 -Spaces....Pages 139-152
Banach Spaces of Distributions of Wiener’s Type and Interpolation....Pages 153-165
Approximation Theory on the Compact Solenoid....Pages 167-174
Front Matter....Pages 175-175
Bernstein and Markov Type Estimates for the Derivative of a Polynomial with Real Zeros....Pages 177-188
Projections with Norms Smaller than those of the Ultraspherical and Laguerre Partial Sums....Pages 189-202
The Regular Convergence of Multiple Series....Pages 203-218
Front Matter....Pages 175-175
Norm Inequalities Relating the Hilbert Transform to the Hardy-Littlewood Maximal Function....Pages 219-231
Best Approximation on the Unit Sphere in $$ {\\mathbb{R}^k} $$ ....Pages 233-245
Front Matter....Pages 246-246
Ein Problem Über die Beste Approximation in Hilberträumen....Pages 247-254
Über Existenz- und Eindeutigkeitsmengen bei der Besten Ko-Approximation....Pages 255-264
Inverse Approximation Theorems of Lebedev and Tamrazov....Pages 265-281
Best Multipoint Local Approximation....Pages 283-296
Front Matter....Pages 297-297
On the Lebesgue Function of Interpolation....Pages 299-309
A Uniform Boundedness Principle with Rates and an Application to Linear Processes....Pages 311-322
Slow Approximation with Convolution Operators....Pages 323-334
A Remark on Asymptotically Optimal Approximation by Faber Series....Pages 335-340
Front Matter....Pages 341-341
Strong Approximation and Generalized Lipschitz Classes....Pages 343-350
Strong Approximation and the Behaviour of Fourier Series....Pages 351-364
On the Rate of Approximation by Müntz Polynomials Satisfying Constraints....Pages 365-370
Front Matter....Pages 371-371
The Asymptotic Distribution of Lattice Points in Euclidean and Non-Euclidean Spaces....Pages 373-383
On the Approximation of Indicator Functions by Smooth Functions in Banach Spaces....Pages 385-394
On the o -Closeness of the Distribution of Two Weighted Sums of Banach Space Valued Martingales with Applications....Pages 395-405
Front Matter....Pages 407-407
Approximation und Transformationsmethoden III....Pages 409-420
Uniqueness of Optimal Piecewise Polynomial L 1 Approximations for Generalized Convex Functions....Pages 421-432
The Dominated Integral of Functions of Two Variables....Pages 433-442
Bernstein — Polynome, 1912–1955....Pages 443-461
Front Matter....Pages 407-407
New and Unsolved Problems....Pages 463-473
Errata....Pages 474-474
Back Matter....Pages 476-482