The reader is assumed to know the elementary part of complex
funCtion theory, general topology, integration, and linear spaces.
All the needed information is contained in a usual first-year
graduate course on analysis. These prerequisites are modest but
essential. To be sure there is a big gap between learning the
Banach-Steinhaus theorem, for example, and applying it to a real
problem. Filling that gap is one of the objectives of this book. It
is a natural objective, because integration theory and functional
analysis to a great extent developed in response to the problems of
Fourier series! The exposition has been condensed somewhat by
relegating proofs of some technical points to the problem sets.
Other problems give results that are needed in subsequent sections;
and many problems simply present interesting results of the subject
that are not otherwise covered. Problems range in difficulty from
very simple to very hard. The system of numeration is simple: Sec.
3. 2 is the second section of Chapter 3. The second section of the
current chapter is Sec. 2. Formula (3. 2) is the second formula of
Sec. 3, of the current chapter unless otherwise mentioned. With
pleasure I record the debt to my notes from a course on Real
Variables given by R. Salem in 1945. I wish to thank R. Fefferman,
Y. Katznelson, and A. 6 Cairbre for sympathetic criti cism of the
manuscript. Mr. Carl Harris of the Addison-Wesley Publishing
Company has been most helpful in bringing the book to publication.
General
| Imprint: |
Kluwer Academic Publishers
|
| Country of origin: |
Netherlands |
| Series: |
The Wadsworth & Brooks/Cole Mathematics Series |
| Release date: |
April 1991 |
| First published: |
1991 |
| Authors: |
Henry Helson
|
| Dimensions: |
235 x 155 x 11mm (L x W x T) |
| Format: |
Paperback
|
| Pages: |
190 |
| Edition: |
New edition |
| ISBN-13: |
978-0-534-15570-4 |
| Categories: |
Books >
Science & Mathematics >
Science: general issues >
General
Promotions
|
| LSN: |
0-534-15570-7 |
| Barcode: |
9780534155704 |
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