Approximation Theory and Functional Analysis, Proceedings of the International Symposium on Approximation Theory

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Author(s): João B. Prolla (Eds.)
Series: North-Holland Mathematics Studies 35
Publisher: North Holland
Year: 1979

Language: English
Pages: iii-v, 1-449

Content:
Edited by
Page iii

Copyright page
Page iv

Foreword
Page v
João B. Prolla

Polynomial Approximation and a Question of G. E. Shilov Original Research Article
Pages 1-12
Richard M. Aron

Analytic Hypoellipticity of Operators of Principal Type Original Research Article
Pages 13-17
J. Barros Neto

Korovkin Approximation in Function Spaces Original Research Article
Pages 19-36
Heinz Bauer

A Remark on Vector-Valued Approximation on Compact Sets, Approximation on Product Sets, and the Approximation Property Original Research Article
Pages 37-62
Klaus—D. Bierstedt

The Completion of Partially Ordered Vector Spaces and Korovkin's Theorem Original Research Article
Pages 63-69
Bruno Brosowski

Approximation by Algebraic Convolution Integrals Original Research Article
Pages 71-120
P.L. Butzer, R.L. Stens, M. Wehrens

Non-Archimedean Weighted Approximation Original Research Article
Pages 121-131
José Paulo, Q. Carneiro

Théaorie Spectrale En Une Infinitéa De Variables Original Research Article
Pages 133-137
Jean-Pierre Ferrier

Meromorphic Uniform Approximation on Closed Subsets of Open Riemann Surfaces Original Research Article
Pages 139-158
P.M. Gauthier

Whitney's Spectral Synthesis Theorem in Infinite Dimensions Original Research Article
Pages 159-185
Claudia S. Guerreiro

Recent Progress in Birkhoff Interpolation Original Research Article
Pages 187-236
G.G. Lorentz, S.D. Riemenschneider

Approximation Polynomiale Pondérée et Produits Canoniques Original Research Article
Pages 237-262
Paul Malliavin

Spaces of Differentiable Functions and the Approximation Property Original Research Article
Pages 263-307
Reinhold Meise

A Look at Approximation Theory Original Research Article
Pages 309-331
Leopoldo Nachbin

Banach Algebras Over Valued Fields Original Research Article
Pages 333-342
Lawrence Narici, Edward Beckenstein

Approximation of Plurisubharmonic Functions Original Research Article
Pages 343-349
Philippe Noverraz

The Approximation Property for Certain Spaces of Holomorphic Mappings Original Research Article
Pages 351-370
Otilia T. Wiermann Paques

The Approximation Property for Nachbin Spaces Original Research Article
Pages 371-382
Joäo B. Prolla

On Cardinal Spline Smoothing Original Research Article
Pages 383-407
I.J. SchoenBerg

A Characterization of Echelon Köthe-Schwartz Spaces Original Research Article
Pages 409-419
M. Valdivia

The Rational Approximation of Real Functions Original Research Article
Pages 421-428
Daniel Wulbert

Fundamental Seminorms Original Research Article
Pages 429-443
Guido Zapata

Index
Pages 445-449