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Special trigonometric series in k-dimensions

Author: Stephen Wainger
Publisher: Providence, R.I. : American Mathematical Society, 1965.
Series: Memoirs of the American Mathematical Society, no. 59.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
The purpose of this paper is to make a study of special classes of trigonometric series in k-dimensions. These series are analogues of one-dimensional series which have shed light on problems in Fourier analysis in one dimension. This study is carried out in parts I-III. In part IV, we give applications to various problems in analysis, and applications and their relations to known theorems are discussed in detail.
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Genre/Form: K-Dimension
Document Type: Book
All Authors / Contributors: Stephen Wainger
ISBN: 0821812599 9780821812594
OCLC Number: 1312591
Description: 102 pages : illustrations, diagrams ; 26 cm.
Contents: Introduction --
Part I --
Part II --
Part III --
Part IV --
Appendix.
Series Title: Memoirs of the American Mathematical Society, no. 59.
Responsibility: by Stephen Wainger.

Abstract:

The purpose of this paper is to make a study of special classes of trigonometric series in k-dimensions. These series are analogues of one-dimensional series which have shed light on problems in Fourier analysis in one dimension. This study is carried out in parts I-III. In part IV, we give applications to various problems in analysis, and applications and their relations to known theorems are discussed in detail.

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