Book Review
The AMS does not provide abstracts of book reviews.
You may download the entire review from the links below.
Full text of review:
PDF
This review is available free of charge.
Book Information:
Author:
Paul Koosis
Title:
Leçons sur le Théorème de Beurling et Malliavin
Additional book information:
Les Publications CRM Montréal, 1996, xii+230,
ISBN 2-921120-19-4,
$33.65$
[1] A. Beurling and P. Malliavin, Stanford lectures, 1961.
A. Beurling and P. Malliavin, On Fourier transforms of measures with compact support, Acta Math. 107 (1962), 291–309. MR 147848, DOI 10.1007/BF02545792
Arne Beurling and Paul Malliavin, On the closure of characters and the zeros of entire functions, Acta Math. 118 (1967), 79–93. MR 209758, DOI 10.1007/BF02392477
Paul Koosis, The logarithmic integral. I, Cambridge Studies in Advanced Mathematics, vol. 12, Cambridge University Press, Cambridge, 1988. MR 961844, DOI 10.1017/CBO9780511566196
[5] -, A result on polynomials and its relation to another, concerning entire functions of exponential type, Matem. Fiz., Analiz., Geom., In press.
Franz Rádl, Über die Teilbarkeitsbedingungen bei den gewöhnlichen Differential polynomen, Math. Z. 45 (1939), 429–446 (German). MR 82, DOI 10.1007/BF01580293
[7] H. Pedersen, Uniform estimates of entire functions by logarithmic sums, J. of Functional Analysis 146 (1997), 517-556. CMP 97:13
Raymond M. Redheffer, Completeness of sets of complex exponentials, Advances in Math. 24 (1977), no. 1, 1–62. MR 447542, DOI 10.1016/S0001-8708(77)80002-9
- [1]
- A. Beurling and P. Malliavin, Stanford lectures, 1961.
- [2]
- -, On Fourier transforms of measures with compact support, Acta Math. 107 (1962), 291-309. MR 0147848
- [3]
- -, On the closure of characters and the zeros of entire functions, ibid. 118 (1967), 79-93. MR 0209758
- [4]
- P. Koosis, The Logarithmic Integral I, II, Cambridge University Press 1988, 1992. MR 0961844; MR 94i:30027
- [5]
- -, A result on polynomials and its relation to another, concerning entire functions of exponential type, Matem. Fiz., Analiz., Geom., In press.
- [6]
- N. Levinson, Gap and Density Theorems, AMS Colloquium Publication XXVI, 1940, Chapter III. MR 2:180d
- [7]
- H. Pedersen, Uniform estimates of entire functions by logarithmic sums, J. of Functional Analysis 146 (1997), 517-556. CMP 97:13
- [8]
- R. Redheffer, Completeness of sets of complex exponentials, Adv. in Math. 24 (1977), 1-62. MR 0447542
Review Information:
Reviewer:
Raymond M. Redheffer
Affiliation:
University of California, Los Angeles
Email:
rr@math.ucla.edu
Journal:
Bull. Amer. Math. Soc.
35 (1998), 171-174
DOI:
https://doi.org/10.1090/S0273-0979-98-00746-0
Review copyright:
© Copyright 1998
American Mathematical Society
