Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2024 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Contents of Volume 23, Number 2
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Miscellaneous front pages, Bull. Amer. Math. Soc. (N.S.), Volume 23, Number 2 (1990): PDF; Bull. Amer. Math. Soc. 23 (1990)

Miscellaneous back pages, Bull. Amer. Math. Soc. (N.S.), Volume 23, Number 2 (1990): PDF; Bull. Amer. Math. Soc. 23 (1990)

Multiplication of distributions: J. F. Colombeau PDF; Bull. Amer. Math. Soc. 23 (1990), 251-268

Exponential sums over finite fields and differential equations over the complex numbers: Some interactions: Nicholas M. Katz PDF; Bull. Amer. Math. Soc. 23 (1990), 269-309

Elliptic methods in symplectic geometry: Dusa McDuff PDF; Bull. Amer. Math. Soc. 23 (1990), 311-358

Hurwitz groups: A brief survey: Marston Conder PDF; Bull. Amer. Math. Soc. 23 (1990), 359-370

Torsion points on elliptic curves: S. Kamienny PDF; Bull. Amer. Math. Soc. 23 (1990), 371-373

The behavior of the Mordell-Weil group of elliptic curves: Armand Brumer and Oisín McGuinness PDF; Bull. Amer. Math. Soc. 23 (1990), 375-382

A new upper bound for the minimum of an integral lattice of determinant 1: J. H. Conway and N. J. A. Sloane PDF; Bull. Amer. Math. Soc. 23 (1990), 383-387

$L$ functions for the group $G_2$: I. Piatetski-Shapiro, S. Rallis and G. Schiffmann PDF; Bull. Amer. Math. Soc. 23 (1990), 389-399

Subgroups of polynomial automorphisms: Edwin Connell and John Zweibel PDF; Bull. Amer. Math. Soc. 23 (1990), 401-406

Circle packings in the approximation of conformal mappings: Kenneth Stephenson PDF; Bull. Amer. Math. Soc. 23 (1990), 407-415

The topology of complete one-ended minimal surfaces and Heegaard surfaces in ${\text {R}}^3$: Charles Frohman and William H. Meeks III PDF; Bull. Amer. Math. Soc. 23 (1990), 417-421

A finiteness theorem for Ricci curvature in dimension three: Shun-Hui Zhu PDF; Bull. Amer. Math. Soc. 23 (1990), 423-426

Simply connected manifolds of positive scalar curvature: Stephan Stolz PDF; Bull. Amer. Math. Soc. 23 (1990), 427-432

Isospectral families of conformally equivalent Riemannian metrics: Robert Brooks and Carolyn Gordon PDF; Bull. Amer. Math. Soc. 23 (1990), 433-436

Complete noncompact Kähler manifolds with positive holomorphic bisectional curvature: Wan-Xiong Shi PDF; Bull. Amer. Math. Soc. 23 (1990), 437-440

Some new results on the topology of nonsingular real algebraic sets: Selman Akbulut and Henry King PDF; Bull. Amer. Math. Soc. 23 (1990), 441-446

Exotic cohomology and index theory: John Roe PDF; Bull. Amer. Math. Soc. 23 (1990), 447-453

The tensor product problem for reflexive algebras: Jon Kraus PDF; Bull. Amer. Math. Soc. 23 (1990), 455-460

Triangular algebras and ideals of nest algebras: John Lindsay Orr PDF; Bull. Amer. Math. Soc. 23 (1990), 461-467

Antimonotonicity: Concurrent creation and annihilation of periodic orbits: I. Kan and J. A. Yorke PDF; Bull. Amer. Math. Soc. 23 (1990), 469-476

A new formulation of the generalized Toda lattice equations and their fixed point analysis via the momentum map: Anthony M. Bloch, Roger W. Brockett and Tudor S. Ratiu PDF; Bull. Amer. Math. Soc. 23 (1990), 477-485

On the complete integrability of some Lax systems on ${\text {GL}}\left ( {n,R} \right ) \times {\text {GL}}\left ( {n,R} \right )$: Luen-Chau Li PDF; Bull. Amer. Math. Soc. 23 (1990), 487-493

A simplified version of the abstract Cauchy-Kowalewski theorem with weak singularities: Russel E. Caflisch PDF; Bull. Amer. Math. Soc. 23 (1990), 495-500

Zero-order perturbations of the subelliptic Laplacian on the Heisenberg group and their uniqueness properties: Nicola Garofalo and Ermanno Lanconelli PDF; Bull. Amer. Math. Soc. 23 (1990), 501-511

Subcriticality, positivity, and gaugeability of the Schrödinger operator: Z. Zhao PDF; Bull. Amer. Math. Soc. 23 (1990), 513-517

$L^p \to L^\{p’\}$ estimates for time-dependent Schrödinger operators: J. L. Journé, A. Soffer and C. D. Sogge PDF; Bull. Amer. Math. Soc. 23 (1990), 519-524

On the energy of a large atom: Charles L. Fefferman and Luis A. Seco PDF; Bull. Amer. Math. Soc. 23 (1990), 525-530

Shape optimization for Dirichlet problems: Relaxed solutions and optimality conditions: Giuseppe Buttazzo and Gianni Dal Maso PDF; Bull. Amer. Math. Soc. 23 (1990), 531-535

Discrete analogues of singular Radon transforms: E. M. Stein and S. Wainger PDF; Bull. Amer. Math. Soc. 23 (1990), 537-544

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

The linearization method in hydrodynamical stability theory, by V. I. Yudovich.: Reviewer: D. H. Sattinger; Review information PDF; Bull. Amer. Math. Soc. 23 (1990), 545-547

$J$ Contractive matrix functions, reproducing kernel Hilbert spaces and interpolation, by Harry Dym.: Reviewer: Joseph A. Ball; Review information PDF; Bull. Amer. Math. Soc. 23 (1990), 547-551

Operators and representation theory: Canonical models for algebras of operators arising in quantum mechanics, by P. E. T. Jorgensen.: Reviewer: Roe Goodman; Review information PDF; Bull. Amer. Math. Soc. 23 (1990), 551-554

Initial-boundary value problems and the Navier-Stokes equations, by Heinz-Otto Kreiss and Jens Lorenz.: Reviewer: Peter Constantin; Review information PDF; Bull. Amer. Math. Soc. 23 (1990), 555-559

Mathematical problems from combustion theory, by Jerrold Bebernes and David Eberly.: Reviewer: A. K. Kapila; Review information PDF; Bull. Amer. Math. Soc. 23 (1990), 559-562

The asymptotic solution of linear differential systems, applications of the Levinson theorem, by M. S. P. Eastham.: Reviewer: Allen Devinatz; Review information PDF; Bull. Amer. Math. Soc. 23 (1990), 563-566

Conformal geometry, by Ravi S. Kulkarni and Ulrich Pinkall.: Reviewer: William M. Goldman; Review information PDF; Bull. Amer. Math. Soc. 23 (1990), 566-575

Real analysis and probability, by R. M. Dudley.: Reviewer: Mark A. Pinsky; Review information PDF; Bull. Amer. Math. Soc. 23 (1990), 575-579

Noncommutative Noetherian rings, by J. C. McConnell and J. C. Robson.: Reviewer: Edward Formanek; Review information PDF; Bull. Amer. Math. Soc. 23 (1990), 579-582

Foliations on Riemannian manifolds, by Philippe Tondeur.
Riemannian foliations, by Pierre Molino.: Reviewer: L. Conlon; Review information PDF; Bull. Amer. Math. Soc. 23 (1990), 583-588

Elementary geometry in hyperbolic space, by Werner Fenchel.: Reviewer: J. B. Wilker; Review information PDF; Bull. Amer. Math. Soc. 23 (1990), 589-594

The classical groups and $K$-theory, by A. J. Hahn and O. T. O'Meara.: Reviewer: Robert Steinberg; Review information PDF; Bull. Amer. Math. Soc. 23 (1990), 594-598

Harmonic analysis of spherical functions on real reductive groups, by R. Gangolli and V. S. Varadarajan.: Reviewer: D. Barbasch; Review information PDF; Bull. Amer. Math. Soc. 23 (1990), 598-604

Binary quadratic forms, classical theory and applications, by D. A. Buell.: Reviewer: D. H. Lehmer; Review information PDF; Bull. Amer. Math. Soc. 23 (1990), 604-605

The emperor's new mind, by Roger Penrose.: Reviewer: John McCarthy; Review information PDF; Bull. Amer. Math. Soc. 23 (1990), 606-616

Cosmology in $\left( {2 + 1} \right)$-dimensions, cyclic models, and deformations of $M_{2,1}$, by Victor Guillemin.: Reviewer: John K. Beem; Review information PDF; Bull. Amer. Math. Soc. 23 (1990), 616-617

The averaged moduli of smoothness with applications in numerical methods and approximation, by Blagovest Sendov and Vasil A. Popov.: Reviewer: R. J. Nessel; Review information PDF; Bull. Amer. Math. Soc. 23 (1990), 618-620

Matrix norms and their applications, by G. R. Belitskii and Yu. I. Lyubich.: Reviewer: Peter A. Fillmore; Review information PDF; Bull. Amer. Math. Soc. 23 (1990), 620-623

Vibration and coupling of continuous systems: asymptotic methods, by Jacqueline Sanchez Hubert and Enrique Sanchez Palencia.: Reviewer: M. Slemrod; Review information PDF; Bull. Amer. Math. Soc. 23 (1990), 623-626

An introduction to the numerical analysis of spectral methods, by Bertrand Mercier.: Reviewer: Levi Lustman; Review information PDF; Bull. Amer. Math. Soc. 23 (1990), 626-629

The theory of fixed point classes, by Kiang Tsai-Han.: Reviewer: D. R. Smart; Review information PDF; Bull. Amer. Math. Soc. 23 (1990), 630-633