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E-raamat: Functional Analysis, Holomorphy, and Approximation Theory

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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.
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-Nirenbergs Pseudo-Differential Operators
of Order Zero
Zapata (Author) , G I Zapata (Edited by)