This book contains papers on complex analysis, function spaces, harmonic analysis, and operators, presented at the International seminar on Functional Analysis, Holomorphy, and Approximation Theory held in 1979. It is addressed to mathematicians and advanced graduate students in mathematics.
Table of Contents
1. On an Elementary Proof of the Stone-Weierstrass Theorem and Some Extensions 2. A Scattering Theory for Moving Obstacles 3. Convolution Equations in Spaces of Polynomials on Locally Convex Spaces 4. Moment Theory and Continuity of the Hilbert and Poisson Transforms in L2 Spaces 5. The Biharmonic Partial Differential Equation and the Method of Descent 6. History of Functional Analysis 7. On Roots of Differentiable Functions 8. On (Lb)-Spaces and Quotients of Frechet Spaces 9. Smooth Functionals on Lattices of Continuous Functions 10. Methods of Solving Integral Equations Approximately 11. Convolution Operators in Spaces of Uniform Nuclear Entire Functions 12. Perturbations of Semi-Fredholm Operators in Locally Convex Spaces 13. Approximation Solvability Results for Equations Involving Nonlinear Perturbations of Fredholm Mappings with Applications to Differential Equations 14. Spaces of Continuous Functions with Values in an Inductive Limit 15. Some Natural Problems in Approximating Continuously Differentiable Real Functions 16. The Proof of Frobenius Theorem an a Banach Scale 17. On the Spectra of Topological Algebras of Functions over Valued Fields 18. Sequence Space Representations of Spaces of Test Functions and Distributions 19. Remarks on Kohn-Nirenberg’s Pseudo-Differential Operators of Order Zero