Anniversary Volume on Approximation Theory and Functional Analysis

Front Matter....Pages 1-23
To Academician L. Iliev on the Occasion of his 70th Anniversary....Pages 25-28
Recollections....Pages 29-33
Béla Szőkefalvi-Nagy....Pages 35-39
Adriaan Cornelis Zaanen....Pages 41-45
Front Matter....Pages 47-47
Subnormal Suboperators and the Subdiscrete Topology....Pages 49-65
Spectral Properties of Positive Operators....Pages 67-72
Positive Commuting Perturbations of Selfadjoint Operators and Hyponormality....Pages 73-75
The Resolvent of Generalized Self-Adjoint Operators and a Related Growth Problem....Pages 77-87
Subspace Lattices Connected with C 11 -Contractions....Pages 89-98
On the Wold Decomposition of Isometric Semigroups....Pages 99-108
On Maximally Accretive Operators in the Plane....Pages 109-116
Front Matter....Pages 117-117
Invariant Function Spaces Connected with the Holomorphic Discrete Series....Pages 119-134
Derivations on Certain CSL Algebras II....Pages 135-140
Ideals in C(X)....Pages 141-150
Generalised Functions as Linear Functionals on Generalized Functions....Pages 151-163
Some Embedding Theorems for Modular Classes....Pages 165-172
Nontangential Maximal Functions and Bounded Lower Oscillation....Pages 173-185
Front Matter....Pages 187-187
Negative Results in Connection with Favard’s Problem on the Comparison of Approximation Processes....Pages 189-200
A Remark on Quantitative Gliding Hump Methods....Pages 201-206
Interpolation of H 1 and H ∞ ....Pages 207-211
Front Matter....Pages 187-187
The N-Width of BV ∩ Lip α....Pages 213-222
Front Matter....Pages 223-230
The Necessity of a New Kind of Modulus of Smoothness....Pages 231-231
Approximation of Functions of Two Variables by Algebraic Polynomials, I....Pages 233-248
Polynomial Approximation on Disjoint Intervals....Pages 249-255
Extremalpolynome in der L 1 - und L 2 -Norm auf Zwei Disjunkten Intervallen....Pages 257-267
Shortest Path Algorithms for the Approximation by Nomographic Functions....Pages 269-280
A Bibliography of the Bernstein Power Series Operators of Meyer — König and Zeller and Their Generalizations....Pages 281-301
Front Matter....Pages 303-314
The Best Harmonic Approximant to a Continuous Function....Pages 315-315
Optimal Approximants and Szegö’s Infimum....Pages 317-327
Domains Allowing Exact Quadrature Identities for Harmonic Functions — An Approach Based on P.D.E.....Pages 329-334
A Bandlimited Function Simulating a Duration-Limited One....Pages 335-354
Shannon’s Sampling Theorem Cauchy’s Integral Formula, and Related Results....Pages 355-362
Front Matter....Pages 363-377
Recent Results on the Almost Everywhere Divergence of Lagrange Interpolation....Pages 379-379
Uniform Convergence of Some Poised Problems of Hermite — Birkhoff Interpolation....Pages 381-391
Spline Interpolation of Power-Dominated Data....Pages 393-402
Front Matter....Pages 403-414
Two of My Favorite Ways of Obtaining Asymptotics for Orthogonal Polynomials....Pages 415-415
Convolution Structures for Eigenfunction Expansions Arising from Regular Sturm-Liouville Problems....Pages 417-436
Product Formulas for Bessel, Whittaker, and Jacobi Functions via the Solution of an Associated Cauchy Problem....Pages 437-447
An Outline of the Fourier Transformation as Integration with Respect to a Vector Measure....Pages 449-462
Front Matter....Pages 463-479
Radar Ambiguity Functions and the Linear Schrödinger Representation....Pages 415-415
Front Matter....Pages 481-491
Fixed Point and Implicit Function Theorems and Their Applications....Pages 493-493
Graph Theory in the Approximation Theory of Fluid Dynamics....Pages 495-509
The Spectrum of the Laplacian for Domains in Hyperbolic Space and Limit Sets of Kleinian Groups....Pages 511-519
An Exponential Formula of Hille-Yosida Type for Propagators....Pages 521-525
Green’s Functions for the Finite Difference Heat, Laplace and Wave Equations....Pages 527-542
Front Matter....Pages 543-554
Estimation of the Regression Function via Orthogonal Expansion....Pages 555-555
The Weak Invariance Principle with Rates for C[0,1]-Valued Random-Functions....Pages 557-566
Proof of a Conjecture by L. A. Santaló....Pages 567-584
Front Matter....Pages 585-592
New and Unsolved Problems....Pages 593-593
Back Matter....Pages 595-624
....Pages 626-635