The logarithmic integral
Author(s)
Bibliographic Information
The logarithmic integral
（Cambridge studies in advanced mathematics, 12,
Cambridge University Press, 1998-2009
1st paperback ed.
- 1
- 2
Available at / 14 libraries
-
Hiroshima University Central Library, Interlibrary Loan
1413.5:Ko-78:14000419480,
2413.5:Ko-78:24000419477 -
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Note
Includes bibliographical references and indexes
v.2 "First published 1992, This digitally printed version 2009"--T.p. verso
Description and Table of Contents
- Volume
-
2 ISBN 9780521102544
Description
The theme of this work, the logarithmic integral, lies athwart much of twentieth-century analysis. It is a thread connecting many apparently separate parts of the subject, and so is a natural point at which to begin a serious study of real and complex analysis. Professor Koosis' aim is to show how, from simple ideas, one can build up an investigation which explains and clarifies many different, seemingly unrelated problems; to show, in effect, how mathematics grows. The presentation is straightforward, so that by following the theme, Professor Koosis has produced a work that can be read as a whole. He has brought together here many results, some unpublished, some new, and some available only in inaccessible journals.
Table of Contents
- 9. Jensen's formula again
- 10. Why we want to have multiplier theorems
- 11. Multiplier theorems.
- Volume
-
1 ISBN 9780521596725
Description
The theme of this unique work, the logarithmic integral, lies athwart much of twentieth century analysis. It is a thread connecting many apparently separate parts of the subject, and so is a natural point at which to begin a serious study of real and complex analysis. Professor Koosis' aim is to show how, from simple ideas, one can build up an investigation which explains and clarifies many different, seemingly unrelated problems; to show, in effect, how mathematics grows. The presentation is straightforward, so this, the first of two volumes, is self-contained, but more importantly, by following the theme, Professor Koosis has produced a work that can be read as a whole. He has brought together here many results, some unpublished, some new, and some available only in inaccessible journals.
Table of Contents
- Preface
- Introduction
- 1. Jensen's formula
- 2. Szego's theorem
- 3. Entire functions of exponential type
- 4. Quasianalyticity
- 5. The moment problem on the real line
- 6. Weighted approximation on the real line
- 7. How small can the Fourier transform of a rapidly decreasing non-zero function be?
- 8. Persistence of the form dx/(1+x^2)
- Addendum
- Bibliography for volume I
- Index
- Contents of volume II.
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