Functional Analysis and Approximation

Table of Contents

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   Book Overview
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   Chapter 1 Zur Tagung
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   Chapter 2 List of Participants
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   Chapter 3 Program of the Sessions
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   Chapter 4 Jacob Lionel Bakst Cooper — In Memoriam
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   Chapter 5 A Testimony from a Friend
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   Chapter 6 Fixed Points of Certain Maps on Positive Semidefinite Operators
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   Chapter 7 A Remark on the Spectral Bound of the Generator of Semigroups of Positive Operators with Applications to Stability Theory
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   Chapter 8 Local Operators, Regular Sets, and Evolution Equations of Diffusion Type
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    Chapter 9 An Outline of the Spectral Theory of Propagators
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    Chapter 10 On Generalized Inverses and Operator Ranges
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    Chapter 11 Modular Approximation by a Filtered Family of Linear Operators
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    Chapter 12 Interpolation between H 1 and L ∞
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    Chapter 13 The Franklin Orthogonal System as Unconditional Basis in Re H 1 and VMO
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    Chapter 14 Bessel Potential Spaces and Generalized Lipschitz Spaces on Local Fields
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    Chapter 15 On the Minimum Norm Property of the Fourier Projection in L 1 -Spaces
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    Chapter 16 Banach Spaces of Distributions of Wiener’s Type and Interpolation
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    Chapter 17 Approximation Theory on the Compact Solenoid
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    Chapter 18 Bernstein and Markov Type Estimates for the Derivative of a Polynomial with Real Zeros
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    Chapter 19 Projections with Norms Smaller than those of the Ultraspherical and Laguerre Partial Sums
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    Chapter 20 The Regular Convergence of Multiple Series
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    Chapter 21 Norm Inequalities Relating the Hilbert Transform to the Hardy-Littlewood Maximal Function
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    Chapter 22 Best Approximation on the Unit Sphere in $$ {\mathbb{R}^k} $$
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    Chapter 23 Ein Problem Über die Beste Approximation in Hilberträumen
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    Chapter 24 Über Existenz- und Eindeutigkeitsmengen bei der Besten Ko-Approximation
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    Chapter 25 Inverse Approximation Theorems of Lebedev and Tamrazov
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    Chapter 26 Best Multipoint Local Approximation
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    Chapter 27 On the Lebesgue Function of Interpolation
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    Chapter 28 A Uniform Boundedness Principle with Rates and an Application to Linear Processes
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    Chapter 29 Slow Approximation with Convolution Operators
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    Chapter 30 A Remark on Asymptotically Optimal Approximation by Faber Series
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    Chapter 31 Strong Approximation and Generalized Lipschitz Classes
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    Chapter 32 Strong Approximation and the Behaviour of Fourier Series
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    Chapter 33 On the Rate of Approximation by Müntz Polynomials Satisfying Constraints
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    Chapter 34 The Asymptotic Distribution of Lattice Points in Euclidean and Non-Euclidean Spaces
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    Chapter 35 On the Approximation of Indicator Functions by Smooth Functions in Banach Spaces
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    Chapter 36 On the o -Closeness of the Distribution of Two Weighted Sums of Banach Space Valued Martingales with Applications
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    Chapter 37 Approximation und Transformationsmethoden III
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    Chapter 38 Uniqueness of Optimal Piecewise Polynomial L 1 Approximations for Generalized Convex Functions
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    Chapter 39 The Dominated Integral of Functions of Two Variables
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    Chapter 40 Bernstein — Polynome, 1912–1955
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    Chapter 41 New and Unsolved Problems
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    Chapter 42 Errata