•• Transactions of the American Mathematical Society

.~ ~

0UNDED \~'?3 EDITED BY James W . Cannon Ralph Cohen Ronald K. Getoor Ronald L. Graham Peter W. Jones Vaughan F. R. Jones Jerry L. Kazdan Kenneth Kunen David J. Saltman Lance W. Small, Managing Editor Joel A. Smoller Robert J. Zimmer

Volume 301, Number 2, Pages 431-862 June 1987, Whole Number 625

Providence, Rhode Island USA ISSN 0002-9947

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INDEX TO VOLUME 301 May-June 1987

Bear, H. S. Hardy spaces of heat functions, 83l. Berger, C. A. and Coburn, L. A. Toeplitz operators on the Segal-Bargmann space, 813. Borsari, Lucilia Daruiz. Bordism of semifree circle actions on Spin manifolds, 479. Bourguignon, Jean Pierre and Ezin, Jean Pierre. Scalar curvature functions in a conformal

class of metrics and conformal transformations, 723. Bruckner, A. M. and Hu, Thakyin. On scrambled sets for chaotic functions, 289. Camacho, M. I. T. and Palmeira, C. F. B. Nonsingular quadratic differential equations in the

plane, 845. Cavaliere, Richard A. New results on automorphic integrals and their period functions, 40l. Clarke, F. H. Hamiltonian analysis of the generalized problem of Bolza, 385. Coburn, L. A. See Berger, C. A. Cygan, Jacek M. and Richardson, Leonard F. Global solvability on compact nilmanifolds of

three or more steps, 343. Dilworth, S. J. Convergence of series of scalar- and vector-valued random variables and a

subsequence principle in L2, 375. Downey, R. G. and Jockusch, C. G., Jr. T-degrees, jump classes, and strong reducibilities,

103. Eastwood, Michael. Supersymmetry, twistors, and the Yang-Mills equations, 615. Ezin, Jean Pierre. See Bourguignon, Jean Pierre. Fabec, R. C. Induced group actions, representations and fibered skew product extensions,

489. Fedder, Richard. Glover, Joseph.

method, 327.

F -purity and rational singularity in graded complete intersection rings, 47. Positive solutions of systems of semilinear elliptic equations: The pendulum

Greene, John. Hypergeometric functions over finite fields, 77. Gross, Kenneth I. and Richards, Donald St. P. Special functions of matrix argument. I:

Algebraic induction, zonal polynomials, and hypergeometric functions, 78l. Grubb, D. J. Sets of uniqueness in compact, O-dimensional metric groups, 239. Haught, Christine Ann. Lattice embeddings in the recursively enumerable truth table degrees,

515. Hawkins, William Anthony, Jr. The etale cohomology of p-torsion sheaves. I, 163. Hu, Thakyin. See Bruckner, A. M. Igusa, Kiyoshi. The space of framed functions, 43l. Jensen, R. and Souganidis, P. E. A regularity result for viscosity solutions of Hamilton-Jacobi

equations in one space dimension, 137. Jockusch, C. G., Jr. See Downey, R. G. Kechris, A. S., Louveau, A. and Woodin, W. H. The structure of a-ideals of compact sets, 263. Lane, Mark. Isotype submodules of p-local balanced projective groups, 313. Lockhart, Robert. Fredholm, Hodge and Liouville theorems on noncompact manifolds, l. Louveau, A. See Kechris, A. S. Maier, Helmut. On the Mobius function, 649. Matsushita, Yasuo. Pseudo-Chern classes of an almost pseudo-Hermitian manifold, 665. Nongxa, Loyiso G. Balanced subgroups of finite rank completely decomposable abelian groups,

637. Oxley, James G. The binary matroids with no 4-wheel minor, 63. Palmeira, C. F. B. See Camacho, M. I. T. Passman, D. S. Prime ideals in polycyclic crossed products, 737. Pruss, Jan. On linear Volterra equations of parabolic type in Banach spaces, 69l. Richards, Donald St. P. See Gross, Kenneth I.

860

INDEX TO VOLUME 301 861

Richardson, Leonard F. See Cygan, Jacek M. Robinson, P. L. A cohomological pairing of half-forms, 251. Saerens, Rita and Zame, William R. The isometry groups of manifolds and the automorphism

groups of domains, 413. Schlickewei, Hans Peter and Schmidt, Wolfgang M. Quadratic geometry of numbers, 679. Schmidt, Wolfgang M. See Schlickewei, Hans Peter. Shiba, M. The moduli of compact continuations of an open Riemann surface of genus one,

299. Shick, Paul. On root invariants of periodic classes in ExtA(Z/2, Z/2}, 227. Souganidis, P. E. See Jensen, R. Spanier, E. Cohomology theories on spaces, 149. Szymanski, Waclaw. Positive forms and dilations, 761. Terman, David. Infinitely many traveling wave solutions of a gradient system, 537. Urakawa, Hajime. Stability of harmonic maps and eigenvalues of the Laplacian, 557. Vasconcelos, Wolmer V. Koszul homology and the structure of low codimensionCohen-

Macaulay ideals, 591. Velez, William Yslas. Uniform distribution of two-term recurrence sequences, 37. Venakides, Stephanos. The zero dispersion limit of the Korteweg-de Vries equation with pe-

riodic initial data, 189. Woodin, W. H. See Kechris, A. S. Zame, William R. ' See Saerens, Rita.

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ABCDEFGHIJ - 8987

(Continued from back cover)

Toeplitz operators on the Segal-Bargmann space By C. A. BERGER and L. A. COBURN........................ 813

Hardy spaces of heat functions By H. S. BEAR.............................................. 831

Nonsingular quadratic differential equations in the plane By M. I. T. CAMACHO and C. F. B. PALMEIRA .............. 845

Index to Volume 301 ................................................ 860

CONTENTS Vol. 301, No. 2 June 1987 Whole No. 625

The space of framed functions By KIYOSHI IGUSA. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 431

Bordism of semifree circle actions on Spin manifolds By LuciLIA DARUIZ BORSAR!....... .. . . . . .. . . . . . . . . . . . . . . . . . .. 479

Induced group actions, representations and fibered skew prod~ct extensions By R. C. FABEC ............................................. 489

Lattice embeddings in the recursively enumerable truth table degrees By CHRISTINE ANN HAUGHT .......... . . . . . . . . . . . . . . . . . . . . . . .. 515

Infinitely many traveling wave solutions of a gradient system By DAVID TERMAN ........................................... 537

Stability of harmonic maps and eigenvalues of the Laplacian By HAJIME URAKAWA................ . . . . . . . . . . . . . . . . . . . . . . . .. 557

Koszul homology and the structure of low codimension Cohen-Macaulay ideals

By WOLMER V. VASCONCELOS ................................ 591 Supersymmetry, twistors, and the Yang-Mills equations

By MICHAEL EASTWOOD ......... . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 615 Balanced subgroups of finite rank completely decomposable abelian groups

By LOYISO G. N ONGXA . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 637 On the Mobius function

By HELMUT MAIER........................................... 649 Pseudo-Chern classes of an almost pseudo-Hermitian manifold

By Y ASUO MATSUSHITA ....................................... 665 Quadratic geometry of numbers

By HANS PETER SCHLICKEWEI and WOLFGANG M. SCHMIDT... 679 On linear Volterra equations of parabolic type in Banach spaces

By JAN PRUSS.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 691 Scalar curvature functions in a conformal class of metrics and conformal trans-

formations By JEAN PIERRE BOURGUIGNON and JEAN PIERRE EZIN ....... 723

Prime ideals in polycyclic crossed products By D. S . PASSMAN . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 737

Positive forms and dilations By WACLAW SZYMANSKI

Special functions of matrix argument. I: Algebraic induction, zonal polyno-mials, and hyper geometric functions

761

By KENNETH I. GROSS and DONALD ST. P. RICHARDS ........ 781

(Continued on inside back cover)