Approximation Theory and Functional Analysis (eBook)

Proceedings of the International Symposium on Approximation Theory, Universidade Estadual de Campinas (UNICAMP) Brazil, August 1-5, 1977

Joao B. Prolla (Herausgeber)

eBook Download: PDF

1979 | 1. Auflage
448 Seiten
Elsevier Science (Verlag)
978-0-08-087146-2 (ISBN)

Infos

Approximation theory and functional analysis

Inhalt

Front Cover 1
Approximation Theory and Functional Analysis 4
Table of Contents 8
Copyright Page 5
Foreword 6
Chapter 1. Polynomial approximation and a question of G. E. Shilov 10
Chapter 2. Analytic hypoellipticity of operators of principal type 22
Chapter 3. Korovkin approximation in function spaces 28
Chapter 4. A remark on vector-valued approximation on compact sets, approximation on product sets, and the approximation property 46
Chapter 5. The completion of partially ordered vector spaces and Korovkin’s theorem 72
Chapter 6. Approximation by algebraic convolution integrals 80
Chapter 7. Non-archimedean weighted approximation 130
Chapter 8. Thèorie spectrale en une infinite de variables 142
Chapter 9. Meromorphic uniform approximation on closed subsets of open Riemann surfaces 148
Chapter 10. Whitney’s spectral synthesis theorem in infinite dimensions 168
Chapter 11. Recent progess in Birkhoff interpolation 196
Chapter 12. Approximation polynomiale ponderèe et produits canoniques 246
Chapter 13. Spaces of differentiable functions and the approximation property 272
Chapter 14. A look at approximation theory 318
Chapter 15. Banach algebras over valued fields 342
Chapter 16. Approximation of plurisubharmonic functions 352
Chapter 17. The approximation property for certain spaces of holomorphic mappings 360
Chapter 18. The approximation property for Nachbin spaces 380
Chapter 19. On cardinal spline smoothing 392
Chapter 20. A characterization of echelon köthe-Schwartz spaces 418
Chapter 21. The rational approximation of real functions 430
Chapter 22. Fundamental seminorms 438
Index 454

Produkt-Details

• Erscheint lt. Verlag: 1.1.1979
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• Themenwelt: Naturwissenschaften
• Themenwelt: Technik
• ISBN-10: 0-08-087146-1 / 0080871461
• ISBN-13: 978-0-08-087146-2 / 9780080871462