## Contents of Volume 20, Number 1

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- Nonlinear Fourier analysis
- Stephen Semmes PDF
- Bull. Amer. Math. Soc.
**20**(1989), 1-18

- Miscellaneous back pages, Bull. Amer. Math. Soc. (N.S.), Volume 20, Number 1 (1989)
- Bull. Amer. Math. Soc.
**20**(1989)

- Miscellaneous front pages, Bull. Amer. Math. Soc. (N.S.), Volume 20, Number 1 (1989)
- Bull. Amer. Math. Soc.
**20**(1989)

- The nondegeneration of the Hodge-de Rham spectral sequence
- Harsh V. Pittie PDF
- Bull. Amer. Math. Soc.
**20**(1989), 19-22

- On real algebraic models of smooth manifolds
- J. Bochnak and W. Kucharz PDF
- Bull. Amer. Math. Soc.
**20**(1989), 23-26

- Trees and discrete subgroups of Lie groups over local fields
- Alexander Lubotzky PDF
- Bull. Amer. Math. Soc.
**20**(1989), 27-30

- Prescribed holonomy for projective structures on compact surfaces
- Daniel M. Gallo PDF
- Bull. Amer. Math. Soc.
**20**(1989), 31-34

- On singular Hamiltonians: the existence of quasi-periodic solutions and nonlinear stability
- Chjan C. Lim PDF
- Bull. Amer. Math. Soc.
**20**(1989), 35-40

- Compact manifolds with a little negative curvature
- K. D. Elworthy and S. Rosenberg PDF
- Bull. Amer. Math. Soc.
**20**(1989), 41-44

- Moduli of parabolic $G$-bundles
- Usha N. Bhosle PDF
- Bull. Amer. Math. Soc.
**20**(1989), 45-48

- Homology using Chow varieties
- Eric M. Friedlander PDF
- Bull. Amer. Math. Soc.
**20**(1989), 49-53

- Besicovitch meets Wienerâ€”Fourier expansions and fractal measures
- Robert S. Strichartz PDF
- Bull. Amer. Math. Soc.
**20**(1989), 55-59

- Nonrecursive functions in real algebraic geometry
- Alexander Nabutovsky PDF
- Bull. Amer. Math. Soc.
**20**(1989), 61-65

- Operator theory and algebraic geometry
- R. G. Douglas, Vern Paulsen and Keren Yan PDF
- Bull. Amer. Math. Soc.
**20**(1989), 67-71

- Dynamical $L$-functions and homology of closed orbits
- Atsushi Katsuda and Toshikazu Sunada PDF
- Bull. Amer. Math. Soc.
**20**(1989), 73-77

- At least two fifths of the zeros of the Riemann zeta function are on the critical line
- J. B. Conrey PDF
- Bull. Amer. Math. Soc.
**20**(1989), 79-81

- Knots are determined by their complements
- C. McA. Gordon and J. Luecke PDF
- Bull. Amer. Math. Soc.
**20**(1989), 83-87

##
Book Reviews

Book reviews do not contain an abstract. You may
download each review in this issue using the links
below.

- Symplectic geometry and analytical mechanics, by Paulette Libermann and Charles-Michel Marle.
- Reviewer: William M. Boothby

- Review information PDF
- Bull. Amer. Math. Soc.
**20**(1989), 89-94

- Commutator theory for congruence modular varieties, by Ralph Freese and Ralph McKenzie.
- Reviewer: Stanley Burris

- Review information PDF
- Bull. Amer. Math. Soc.
**20**(1989), 94-96

- Generalized solutions of nonlinear partial differential equations, by Elemér E. Rosinger.
- Reviewer: J. F. Colombeau

- Review information PDF
- Bull. Amer. Math. Soc.
**20**(1989), 96-101

- Equivariant $K$-theory and freeness of group actions on $C^*$-algebras, by N. Christopher Phillips.
- Reviewer: Joachim Cuntz

- Review information PDF
- Bull. Amer. Math. Soc.
**20**(1989), 101-103

- Multiple forcing, by Thomas Jech.
- Reviewer: James E. Baumgartner

- Review information PDF
- Bull. Amer. Math. Soc.
**20**(1989), 103-107

- Dimensions of ring theory, by Constantin Nastasescu and Freddy van Oystaeyen.
- Reviewer: K. R. Goodearl

- Review information PDF
- Bull. Amer. Math. Soc.
**20**(1989), 107-112

- Global analysis on foliated spaces, by Calvin C. Moore and Claude Schochet.
- Reviewer: James L. Heitsch

- Review information PDF
- Bull. Amer. Math. Soc.
**20**(1989), 112-117

- Elliptic functions and rings of integers, by Ph. Cassou-Noguès and M. J. Taylor.
- Reviewer: Ted Chinburg

- Review information PDF
- Bull. Amer. Math. Soc.
**20**(1989), 117-121

- Mathematical problems in viscoelasticity, by Michael Renardy, William J. Hrusa and John A. Nohel.
- Reviewer: Allen C. Pipkin

- Review information PDF
- Bull. Amer. Math. Soc.
**20**(1989), 122-123

- The Malliavin calculus, by Dennis R. Bell.
- Reviewer: Philip Protter

- Review information PDF
- Bull. Amer. Math. Soc.
**20**(1989), 123-127

- A course in constructive algebra, by Ray Mines, Fred Richman and Wim Ruitenburg.
- Reviewer: Douglas S. Bridges

- Review information PDF
- Bull. Amer. Math. Soc.
**20**(1989), 127-132

- Holomorphic functions and integral representations in several complex variables, by R. Michael Range.
- Reviewer: Klas Diederich

- Review information PDF
- Bull. Amer. Math. Soc.
**20**(1989), 132-139

- Lectures on Bochner-Riesz means, by Katherine Michelle Davis and Yang-Chun Chang.
- Reviewer: G. B. Folland

- Review information PDF
- Bull. Amer. Math. Soc.
**20**(1989), 139-142

- Einstein manifolds, by Arthur L. Besse.
- Reviewer: Gary R. Jensen

- Review information PDF
- Bull. Amer. Math. Soc.
**20**(1989), 142-145

- Maximum and minimum principles: A unified approach, with applications, by M. J. Sewell.
- Reviewer: Peter Smith

- Review information PDF
- Bull. Amer. Math. Soc.
**20**(1989), 146-148

- Torsion theories, by Jonathan S. Golan.
- Reviewer: Timothy J. Hodges

- Review information PDF
- Bull. Amer. Math. Soc.
**20**(1989), 148-151