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Anniversary Volume on Approximation Theory and Functional Analysis

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Cover of 'Anniversary Volume on Approximation Theory and Functional Analysis'

Table of Contents

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    Book Overview
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    Chapter 1 To Academician L. Iliev on the Occasion of his 70th Anniversary
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    Chapter 2 Recollections
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    Chapter 3 Béla Szőkefalvi-Nagy
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    Chapter 4 Adriaan Cornelis Zaanen
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    Chapter 5 Subnormal Suboperators and the Subdiscrete Topology
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    Chapter 6 Spectral Properties of Positive Operators
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    Chapter 7 Positive Commuting Perturbations of Selfadjoint Operators and Hyponormality
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    Chapter 8 The Resolvent of Generalized Self-Adjoint Operators and a Related Growth Problem
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    Chapter 9 Subspace Lattices Connected with C 11 -Contractions
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    Chapter 10 On the Wold Decomposition of Isometric Semigroups
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    Chapter 11 On Maximally Accretive Operators in the Plane
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    Chapter 12 Invariant Function Spaces Connected with the Holomorphic Discrete Series
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    Chapter 13 Derivations on Certain CSL Algebras II
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    Chapter 14 Ideals in C(X)
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    Chapter 15 Generalised Functions as Linear Functionals on Generalized Functions
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    Chapter 16 Some Embedding Theorems for Modular Classes
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    Chapter 17 Nontangential Maximal Functions and Bounded Lower Oscillation
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    Chapter 18 Negative Results in Connection with Favard’s Problem on the Comparison of Approximation Processes
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    Chapter 19 A Remark on Quantitative Gliding Hump Methods
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    Chapter 20 Interpolation of H 1 and H ∞
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    Chapter 21 n-Widths for 𝓒 p α Spaces
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    Chapter 22 The N-Width of BV ∩ Lip α
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    Chapter 23 The Necessity of a New Kind of Modulus of Smoothness
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    Chapter 24 Approximation of Functions of Two Variables by Algebraic Polynomials, I
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    Chapter 25 Polynomial Approximation on Disjoint Intervals
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    Chapter 26 Extremalpolynome in der L 1 - und L 2 -Norm auf Zwei Disjunkten Intervallen
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    Chapter 27 Shortest Path Algorithms for the Approximation by Nomographic Functions
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    Chapter 28 A Bibliography of the Bernstein Power Series Operators of Meyer — König and Zeller and Their Generalizations
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    Chapter 29 The Best Harmonic Approximant to a Continuous Function
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    Chapter 30 Optimal Approximants and Szegö’s Infimum
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    Chapter 31 Domains Allowing Exact Quadrature Identities for Harmonic Functions — An Approach Based on P.D.E.
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    Chapter 32 A Bandlimited Function Simulating a Duration-Limited One
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    Chapter 33 Shannon’s Sampling Theorem Cauchy’s Integral Formula, and Related Results
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    Chapter 34 Recent Results on the Almost Everywhere Divergence of Lagrange Interpolation
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    Chapter 35 Uniform Convergence of Some Poised Problems of Hermite — Birkhoff Interpolation
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    Chapter 36 Spline Interpolation of Power-Dominated Data
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    Chapter 37 Two of My Favorite Ways of Obtaining Asymptotics for Orthogonal Polynomials
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    Chapter 38 Convolution Structures for Eigenfunction Expansions Arising from Regular Sturm-Liouville Problems
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    Chapter 39 Product Formulas for Bessel, Whittaker, and Jacobi Functions via the Solution of an Associated Cauchy Problem
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    Chapter 40 An Outline of the Fourier Transformation as Integration with Respect to a Vector Measure
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    Chapter 41 Radar Ambiguity Functions and the Linear Schrödinger Representation
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    Chapter 42 Fixed Point and Implicit Function Theorems and Their Applications
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    Chapter 43 Graph Theory in the Approximation Theory of Fluid Dynamics
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    Chapter 44 The Spectrum of the Laplacian for Domains in Hyperbolic Space and Limit Sets of Kleinian Groups
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    Chapter 45 An Exponential Formula of Hille-Yosida Type for Propagators
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    Chapter 46 Green’s Functions for the Finite Difference Heat, Laplace and Wave Equations
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    Chapter 47 Estimation of the Regression Function via Orthogonal Expansion
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    Chapter 48 The Weak Invariance Principle with Rates for C[0,1]-Valued Random-Functions
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    Chapter 49 Proof of a Conjecture by L. A. Santaló
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    Chapter 50 New and Unsolved Problems
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Title
Anniversary Volume on Approximation Theory and Functional Analysis
Published by
Birkhäuser Basel, November 2013
DOI 10.1007/978-3-0348-5432-0
ISBNs
978-3-03-485434-4, 978-3-03-485432-0
Editors

Butzer, P. L., Stens, R. L., Sz.-Nagy, B.