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# Functional Analysis, Holomorphy, and Approximation Theory

DOI link for Functional Analysis, Holomorphy, and Approximation Theory

Functional Analysis, Holomorphy, and Approximation Theory book

# Functional Analysis, Holomorphy, and Approximation Theory

DOI link for Functional Analysis, Holomorphy, and Approximation Theory

Functional Analysis, Holomorphy, and Approximation Theory book

Edited ByGuido I. Zapata

Edition 1st Edition

First Published 1983

eBook Published 23 December 2020

Pub. Location Boca Raton

Imprint CRC Press

Pages 488

eBook ISBN 9781003072577

Subjects Mathematics & Statistics

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#### Get Citation

Zapata, G.I. (Ed.). (1983). Functional Analysis, Holomorphy, and Approximation Theory (1st ed.). CRC Press. https://doi.org/10.1201/9781003072577

## ABSTRACT

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

chapter |9 pages

#### On an Elementary Proof of the Stone-Weierstrass Theorem and Some Extensions

ByBruno Brosowski

chapter |11 pages

#### Convolution Equations in Spaces of Polynomials on Locally Convex Spaces

ByJ.F. Colombeau, B. Perrot

chapter |25 pages

#### Moment Theory and Continuity of the Hilbert and Poisson Transforms in L2 Spaces

ByM. Cotlar

chapter |60 pages

#### The Biharmonic Partial Differential Equation and the Method of Descent

ByJ.B. Diaz, Ram Bachan Ram

chapter |25 pages

#### Convolution Operators in Spaces of Uniform Nuclear Entire Functions

ByMário C. Matos

chapter |72 pages

#### Perturbations of Semi-Fredholm Operators in Locally Convex Spaces

ByReinhard Mennicken

chapter |9 pages

#### Some Natural Problems in Approximating Continuously Differentiable Real Functions *

ByLeopoldo Nachbin

chapter |13 pages

#### On the Spectra of Topological Algebras of Functions Over Valued Fields

ByJoão B. Prolla

chapter |39 pages

#### Sequence Space Representations of Spaces of Test Functions and Distributions

ByDietmar Vogt

chapter |11 pages

#### Remarks on Kohn-Nirenberg’s Pseudo-Differential Operators of Order Zero *

ByS. Zaidman