The logarithmic integral
著者
書誌事項
The logarithmic integral
（Cambridge studies in advanced mathematics, 12,
Cambridge University Press, 1988-1992
- 1
- 2
大学図書館所蔵 件 / 全72件
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1104/KOO068252188008216,
2104/KOO068252192007196, V. 1.068222194005303, 2.068222193000833 -
1413.5||Ko78||105424968,
2413.5||Ko78||206082532, v. 1413.5h036455*, v. 2413.5h103942 -
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注記
Mathematical symbol for integral from negative to positive infinity appears at head of title
Includes bibliographical references and indexes
内容説明・目次
- 巻冊次
-
1 ISBN 9780521309066
内容説明
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 He has brought together here many results, some unpublished, some new, and some available only in inaccessible journals.
目次
- 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.
- 巻冊次
-
2 ISBN 9780521309073
内容説明
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.
目次
- 9. Jensen's formula again
- 10. Why we want to have multiplier theorems
- 11. Multiplier theorems.
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