The logarithmic integral

Author(s)

• Koosis, Paul

Bibliographic Information

The logarithmic integral

Paul Koosis

（Cambridge studies in advanced mathematics, 12, 21）

Cambridge University Press, 1988-1992

• 1
• 2

Note

Mathematical symbol for integral from negative to positive infinity appears at head of title

Includes bibliographical references and indexes

Description and Table of Contents

Volume

1 ISBN 9780521309066

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 He has brought together here many results, some unpublished, some new, and some available only in inaccessible journals.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.

Volume

2 ISBN 9780521309073

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 He has brought together here many results, some unpublished, some new, and some available only in inaccessible journals.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.

by "Nielsen BookData"

Details

• NCID: BA04383492
• ISBN:
  • 0521309069
  • 0521309077
• LCCN: 85028018
• Country Code: uk
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Cambridge [Eng.]
• Pages/Volumes: 2 v.
• Size: 24 cm
• Classification:
  • LCC : QA331
  • DC19 : 515.4
  • NDC8 : 413.5
• Subject Headings:
  • LCSH : Analytic functions
  • LCSH : Harmonic analysis
  • LCSH : Integrals, Logarithmic
• Parent Bibliography ID:
  • BA00109761