**Mathematical Surveys and Monographs**

Volume: 1;
1943;
144 pp;
Softcover

MSC: Primary 44;

Print ISBN: 978-0-8218-1501-4

Product Code: SURV/1

List Price: $53.00

AMS Member Price: $42.40

MAA Member Price: $47.70

**Electronic ISBN: 978-1-4704-1228-9
Product Code: SURV/1.E**

List Price: $53.00

AMS Member Price: $42.40

MAA Member Price: $47.70

# The Problem of Moments

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*J. A. Shohat; J. D. Tamarkin*

The book was first published in 1943 and then was reprinted several times with corrections. It presents the development of the classical problem of moments for the first 50 years, after its introduction by Stieltjes in the 1890s. In addition to initial developments by Stieltjes, Markov, and Chebyshev, later contributions by Hamburger, Nevanlinna, Hausdorff, Stone, and others are discussed. The book also contains some results on the trigonometric moment problem and a chapter devoted to approximate quadrature formulas.

#### Table of Contents

# Table of Contents

## The Problem of Moments

- TABLE OF CONTENTS iii4 free
- PREFACE v6 free
- INTRODUCTION vii8 free
- CHAPTER I. A GENERAL THEORY OF THE PROBLEM OF MOMENTS 116 free
- CHAPTER II. THEORY OF THE HAMBURGER MOMENT PROBLEM 2338
- CHAPTER III. VARIOUS MODIFICATIONS OF THE MOMENT PROBLEM. 7792
- CHAPTER IV. APPROXIMATE QUADRATURES 106121
- BIBLIOGRAPHY 127142
- SUPPLEMENTARY BIBLIOGRAPHY 139154
- INDEX 143158