The logarithmic integral  1 ~ 2

Paul Koosis

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 He has brought together here many results, some unpublished, some new, and some available only in inaccessible journals.

「Nielsen BookData」より

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 He has brought together here many results, some unpublished, some new, and some available only in inaccessible journals.

「Nielsen BookData」より

[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.

「Nielsen BookData」より

[目次]

  • 9. Jensen's formula again
  • 10. Why we want to have multiplier theorems
  • 11. Multiplier theorems.

「Nielsen BookData」より

この本の情報

書名 The logarithmic integral
著作者等 Koosis, Paul
Fulton, W.
Katok, A.
Kirwan, F.
Sarnak, P.
Simon, B.
Totaro, B.
Bollobas, B.
シリーズ名 Cambridge studies in advanced mathematics
巻冊次 1
2
出版元 Cambridge University Press
刊行年月 1998-2009
版表示 1st paperback ed.
ページ数 2v.
大きさ 23-24 cm
ISBN 0521596726
9780521102544
NCID BA41755734
※クリックでCiNii Booksを表示
言語 英語
出版国 イギリス
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