VOLUME 333 NUMBER 2 OCTOBER 1992

WHOLE NUMBER 689

RANSACTIONSOF THE

AMERICAN MATHEMATICAL SOCIETY

EDITED BYAvner D. AshJames E. Baumgartner, Managing EditorRobert BryantSun-Yung A. ChangRalph CohenRichard DurrettPhilip J. HanlonDavid JerisonWen-Ching Winnie LiJohn Mallet-ParetJudith D. SallyPeter ShalenMasamichi Takesaki

PROVIDENCE, RHODE ISLANDISSN 0002-9947

Transactions of the American Mathematical SocietyThis journal is devoted entirely to research in pure and applied mathematics.

Subscription information. Transactions of the American Mathematical Society is pub-lished monthly. Subscription prices for Volumes 329-334 (1992) are $842 list; $674 in-stitutional member. A late charge of 10% of the subscription price will be imposed uponorders received from nonmembers after January 1 of the subscription year. Subscribersoutside the United States and India must pay a postage surcharge of $27; subscribers inIndia must pay a postage surcharge of $50. Expedited delivery to destinations in NorthAmerica $38; elsewhere $127.

Back number information. For back issues see the AMS Catalog of Publications.

Subscriptions and orders should be addressed to the American Mathematical Soci-ety, P.O. Box 1571, Annex Station, Providence, RI 02901-1571. All orders must beaccompanied by payment. Other correspondence should be addressed to P. O. Box 6248,Providence, RI 02940-6248.

Copying and reprinting. Individual readers of this publication, and nonprofit librariesacting for them are permitted to make fair use of the material, such as to copy an articlefor use in teaching or research. Permission is granted to quote brief passages from thispublication in reviews provided the customary acknowledgement of the source is given.

Republication, systematic copying, or multiple reproduction of any material in thispublication (including abstracts) is permitted only under license from the AmericanMathematical Society. Requests for such permission should be addressed to the Managerof Editorial Services, American Mathematical Society, P. O. Box 6248, Providence, RI02940-6248.

The appearance of the code on the first page of an article in this journal indicatesthe copyright owner's consent for copying beyond that permitted by Sections 107 or 108of the U.S. Copyright Law, provided that the fee of $1.00 plus $.25 per page for eachcopy be paid directly to the Copyright Clearance Center, Inc., 27 Congress Street, Salem,MA 01970. This consent does not extend to other kinds of copying, such as copying forgeneral distribution, for advertising or promotion purposes, for creating new collectiveworks, or for resale.

Transactions of the American Mathematical Society is published monthly by the Amer-ican Mathematical Society at 201 Charles Street, Providence, RI 02904-2213. Second-class postage is paid at Providence, Rhode Island. Postmaster: Send address changes toTransactions, American Mathematical Society, P. O. Box 6248, Providence, RI 02940-6248.

Copyright © 1992 by the American Mathematical Society. All rights reserved.Printed in the United States of America.

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This publication was typeset using A^fS-T^X,the American Mathematical Society's TgX macro system.

10 9 8 7 6 5 4 3 2 1 97 96 95 94 93 92

INDEX TO VOLUME 333September-October 1992

Ashley, Jonathan, Kitchens, Bruce and Stafford, Matthew. Boundaries of Markov partitions, 177.Bavaud, François. Adjoint transform, overconvexity and sets of constant width, 315.Bendersky, Martin, Davis, Donald M. and Mimura, Mamoru. vx-periodic homotopy groups of

exceptional Lie groups : torsion-free cases, 115.Berger, T. R., Hargraves, B. B. and Shelton, C. The regular module problem. I, 251.van den Bergh, Michel. See Schofield, AidanBernhardt, C, Coven, E., Misiurewicz, M. and Mulvey, I. Comparing periodic orbits of maps of

the interval, 701.Blokh, A. M. The set of all iterates is nowhere dense in C([0,1], [0,1]), 787.Brown, Edward M. Unknotted solid tori and genus one Whitehead manifolds, 835.Brown, Rohert B. and Hopkins, Nora C. Noncommutative matrix Jordan algebras, 137.Carton-Lebrun, C. Fourier inequalities with nonradial weights, 751.Cohen, Daniel C, Goresky, Mark and Ji, Lizhen. On the Künneth formula for intersection coho-

mology, 63.Costenoble, Steven R. and Waner, Stefan. Generalized Toda brackets and equivariant Moore spec-

tra, 849.Coven, E. See Bernhardt, CDavis, Donald M. See Bendersky, MartinEvans, Michael J., Humke, Paul D., Lee, Cheng-Ming and O'Malley, Richard J. Corrigendum to"Characterizations of turbulent one-dimensional mappings via co-limit sets", 939.Fan, Haitao. The uniqueness and stability of the solution of the Riemann problem of a system of

conservation laws of mixed type, 913.Fokkink, Robbert J. and Oversteegen, Lex G. A recurrent nonrotational homeomorphism on the

annulus, 865.Forrest, Brian. Complemented ideals in the Fourier algebra and the Radon Nikodym property, 689.Goresky, Mark. See Cohen, Daniel CGrenier, Douglas. An analogue ofSiegel's ^-operator for automorphic forms for GLn(Z), 463.Hargraves, B. B. See Berger, T. R.Harris, John C. and Shank, R. James. Lannes' T functor on summands ofH*(B(Z/p)s), 579.Hayashi, Mikihiro, Nakai, Mitsuru and Segawa, Shigeo. Bounded analytic functions on two sheeted

discs, 799.Hopkins, Nora C. See Brown, Robert B.Hsu, Pei. On the Q-function of a Riemannian manifold with boundary, 643.Hui, Kin Ming. A Fatou theorem for the solution of the heat equation at the corner points of a

cylinder, 607.Humke, Paul D. See Evans, Michael J.Ishihara, Toru. Complete nonorientable minimal surfaces in R?, 889.Jekel, Solomon M. A spectral sequence for pseudogroups on R, 741.Ji, Lizhen. See Cohen, Daniel C.Kalton, N. J. Differentials of complex interpolation processes for Käthe function spaces, 479.Kim, Myung Ho, Kojima, Sadayoshi and Raymond, Frank. Homotopy invariants of nonorientable

4-manifolds, 71.Kitchens, Bruce. See Ashley, JonathanKojima, Sadayoshi. See Kim, Myung HoKoornwinder, Tom H. and Swarttouw, René F. On q-analogues of the Fourier and Hankel trans-

forms, 445.Krieger, Wolfgang, Marcus, Brian and Tuncel, Selim. On automorphisms of Markov chains, 531.Kriz, Igor. Equivariant cohomology and lower bounds for chromatic numbers, 567.Kwong, Man Kam and Li, Yi. Uniqueness of radial solutions of semilinear elliptic equations, 339.

INDEX TO VOLUME 333

Labrousse, J. Ph. et Mbekhta, M. Résolvant généralisé et séparation des points singuliers quasi-Fredholm, 299.

Lee, Cheng-Ming. See Evans, Michael J.Lee, Tzong-Yow and Ni, Wei-Ming. Global existence, large time behavior and life span of solutions

of a semilinear parabolic Cauchy problem, 365.Leslie, J. Some integrable subalgebras of the Lie algebras of infinite dimensional Lie groups, 423.Li, Yi. See Kwong, Man KamLiu, Xiangyang and Minda, David. Distortion theorems for Bloch functions, 325.Maitra, A., Purves, R. and Sudderth, W. A capacitability theorem in measurable gambling theory,

221.Marcus, Brian. See Krieger, WolfgangMcCord, Christopher and Mischaikow, Konstantin. Connected simple systems, transition matrices

and heteroclinic bifurcations, 397.Mclntosh, Alan and Qian, Tao. Fourier multipliers on Lipschitz curves, 157.Mimura, Mamoru. See Bendersky, MartinMinda, David. See Liu, XiangyangMischaikow, Konstantin. See McCord, ChristopherMisiurewicz, M. See Bernhardt, C.Monks, Kenneth G. Nilpotence and torsion in the cohomology of the Steenrod algebra, 903.Mulvey, I. See Bernhardt, C.Nakai, Mitsuru. See Hayashi, MikihiroNakamura, Yoshimasa. The level manifold of a generalized Toda equation hierarchy, 83.Ni, Wei-Ming. See Lee, Tzong-YowO'Malley, Richard J. See Evans, Michael J.Oversteegen, Lex G. See Fokkink, Robbert J.Purves, R. See Maitra, A.Qian, Tao. See Mclntosh, AlanRaymond, Frank. See Kim, Myung HoSchein, Boris M. The minimal degree of a finite inverse semigroup, 877.Schofield, Aidan and van den Bergh, Michel. The index of a Brauer class on a Brauer-Severi variety,

729.Segal, J. and Watanabe, T. Cosmic approximate limits and fixed points, 1.Segawa, Shigeo. See Hayashi, MikihiroShank, R. James. See Harris, John C.Shelton, C. See Berger, T. R.Shlapentokh, Alexandra. Hubert's Tenth Problem for rings of algebraic functions in one variable

over fields of constants of positive characteristic, 275.Singer, Michael F. Liouvillian first integrals of differential equations, 673.Smith, P. D. and Yang, Deane. Removing point singularities of-Riemannian manifolds, 203.Sogge, Christopher D. Uniqueness in Cauchy problems for hyperbolic differential operators, 821.Stafford, Matthew. See Ashley, JonathanSudderth, W. See Maitra, A.Swarttouw, René F. See Koornwinder, Tom H.Tuncel, Selim. See Krieger, WolfgangWaner, Stefan. See Costenoble, Steven R.Ward, James R., Jr. A topological method for bounded solutions of nonautonomous ordinary differ-

ential equations, 709.Ware, Roger. Galois groups of maximal p-extensions, 721.Watanabe, T. See Segal, J.Wu, Jang-mei. Examples of capacity for some elliptic operators, 379.Yang, Deane. See Smith, P. D.Young, Paul Thomas. Radii of convergence and index for p-adic differential operators, 769.Zhu, Xiao-Wei. The classification ofspinors under GSpin,4 over finite fields, 95.

VOLUME 333 g(( sfinfli 1Í5 1992

r/A/DEO

Transactions-A-OFTHE

AMERICAN MATHEMATICAL SOCIETY

EDITED BYAvner D. AshJames E. Baumgartner, Managing EditorRobert BryantSun-Yung A. ChangRalph CohenRichard DurrettPhilip J. HanlonDavid JerisonWen-Ching Winnie LiJohn Mallet-ParetJudith D. SallyPeter ShalenMasamichi Takesaki

PROVIDENCE, RHODE ISLAND USAISSN 0002-9947

Transactions of the American Mathematical SocietyThis journal is devoted entirely to research in pure and applied mathematics.

Subscription information. Transactions of the American Mathematical Society is pub-lished monthly. Subscription prices for Volumes 329-334 (1992) are $842 list; $674 in-stitutional member. A late charge of 10% of the subscription price will be imposed uponorders received from nonmembers after January 1 of the subscription year. Subscribersoutside the United States and India must pay a postage surcharge of $27; subscribers inIndia must pay a postage surcharge of $50. Expedited delivery to destinations in NorthAmerica $38; elsewhere $127.

Back number information. For back issues see the AMS Catalog of Publications.

Subscriptions and orders should be addressed to the American Mathematical Soci-ety, P.O. Box 1571, Annex Station, Providence, RI 02901-1571. All orders must beaccompanied by payment. Other correspondence should be addressed to P. O. Box 6248,Providence, RI 02940-6248.

Copying and reprinting. Individual readers of this publication, and nonprofit librariesacting for them are permitted to make fair use of the material, such as to copy an articlefor use in teaching or research. Permission is granted to quote brief passages from thispublication in reviews provided the customary acknowledgement of the source is given.

Republication, systematic copying, or multiple reproduction of any material in thispublication (including abstracts) is permitted only under license from the AmericanMathematical Society. Requests for such permission should be addressed to the Managerof Editorial Services, American Mathematical Society, P. O. Box 6248, Providence, RI02940-6248.

The appearance of the code on the first page of an article in this journal indicatesthe copyright owner's consent for copying beyond that permitted by Sections 107 or 108of the U.S. Copyright Law, provided that the fee of $1.00 plus $.25 per page for eachcopy be paid directly to the Copyright Clearance Center, Inc., 27 Congress Street, Salem,MA 01970. This consent does not extend to other kinds of copying, such as copying forgeneral distribution, for advertising or promotion purposes, for creating new collectiveworks, or for resale.

Transactions of the American Mathematical Society is published monthly by the Amer-ican Mathematical Society at 201 Charles Street, Providence, RI 02904-2213. Second-class postage is paid at Providence, Rhode Island. Postmaster: Send address changes toTransactions, American Mathematical Society, P. O. Box 6248, Providence, RI 02940-6248.

Copyright © 1992 by the American Mathematical Society. All rights reserved.Printed in the United States of America.

The paper used in this book is acid-free and falls within the guidelinesestablished to ensure permanence and durability. ©

This publication was typeset using A^S-Tr^X-,the American Mathematical Society's TpX macro system.

10 9 8 7 6 5 4 3 2 1 97 96 95 94 93 92

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

Contents

Vol. 333, No. 1 September 1992 Whole No. 688

Cosmic approximate limits and fixed pointsBy J. Segal and T. Watanabe. 1

On the Künneth formula for intersection cohomologyBy Daniel C. Cohen, Mark Goresky and Lizhen Ji. 63

Homotopy invariants of nonorientable 4-manifoldsBy Myung Ho Kim, Sadayoshi Kojima and Frank Raymond .. 71

The level manifold of a generalized Toda equation hierarchyBy Yoshimasa Nakamura. 83

The classification of spinors under GSpin14 over finite fieldsBy Xiao-Wei Zhu. 95

vx -periodic homotopy groups of exceptional Lie groups: torsion-free casesBy Martin Bendersky, Donald M. Davis and Mamoru Mimura 115

Noncommutative matrix Jordan algebrasBy Robert B. Brown and Nora C. Hopkins. 137

Fourier multipliers on Lipschitz curvesBy Alan McIntosh and Tao Qian. 157

Boundaries of Markov partitionsBy Jonathan Ashley, Bruce Kitchens and Matthew Stafford 177

Removing point singularities of Riemannian manifoldsBy P. D. Smith and Deane Yang. 203

A capacitability theorem in measurable gambling theoryBy A. Maitra, R. Purves and W. Sudderth. 221

The regular module problem. IBy T. R. Berger, B. B. Hargraves and C. Shelton. 251

Hubert's Tenth Problem for rings of algebraic functions in one variableover fields of constants of positive characteristic

By Alexandra Shlapentokh . 275Résolvant généralisé et séparation des points singuliers quasi-Fredholm

By J. Ph. Labrousse et M. Mbekhta . 299Adjoint transform, overconvexity and sets of constant width

By François Bavaud. 315Distortion theorems for Bloch functions

By Xiangyang Liu and David Minda. 325Uniqueness of radial solutions of semilinear elliptic equations

By Man Kam Kwong and Yi Li. 339Global existence, large time behavior and life span of solutions of a semi-

linear parabolic Cauchy problemBy Tzong-Yow Lee and Wei-Ming Ni. 365

Examples of capacity for some elliptic operatorsBy Jang-mei Wu. 379

Connected simple systems, transition matrices and heteroclinic bifurca-tions

By Christopher McCord and Konstantin Mischaikow. 397Some integrable subalgebras of the Lie algebras of infinite dimensional Lie

groupsBy J. Leslie . 423

On ^-analogues of the Fourier and Hankel transformsBy Tom H. Koornwinder and René F. Swarttouw . 445

An analogue of Siegel's (^-operator for automorphic forms for GLn(T)By Douglas Grenier. 463

Vol. 333, No. 2 October 1992 Whole No. 689

Differentials of complex interpolation processes for Köthe function spacesBy N. J. Kalton. 479

On automorphisms of Markov chainsBy Wolfgang Krieger, Brian Marcus and Selim Tuncel. 531

Equivariant cohomology and lower bounds for chromatic numbersBy Igor Kriz. 567

Lannes' T functor on summands of H*(B(Z/p)s)By John C. Harris and R. James Shank. 579

A Fatou theorem for the solution of the heat equation at the corner pointsof a cylinder

By Kin Ming Hui. 607On the 0-function of a Riemannian manifold with boundary

By Pei Hsu. 643Liouvillian first integrals of differential equations

By Michael F. Singer. 673Complemented ideals in the Fourier algebra and the Radon Nikodym prop-

ertyBy Brian Forrest. 689

Comparing periodic orbits of maps of the intervalBy C. Bernhardt, E. Coven, M. Misiurewicz and I. Mulvey ... 701

A topological method for bounded solutions of nonautonomous ordinarydifferential equations

By James R. Ward, Jr. 709Galois groups of maximal p-extensions

By Roger Ware. 721The index of a Brauer class on a Brauer-Severi variety

By Aidan Schofield and Michel van den Bergh. 729

A spectral sequence for pseudogroups on RBy Solomon M. Jekel. 741

Fourier inequalities with nonradial weightsBy C. Carton-Lebrun. 751

Radii of convergence and index for /?-adic differential operatorsBy Paul Thomas Young. 769

The set of all iterates is nowhere dense in C([0,1], [0,1])By A. M. Blokh. 787

Bounded analytic functions on two sheeted discsBy Mikihiro Hayashi, Mitsuru Nakai and Shigeo Segawa. 799

Uniqueness in Cauchy problems for hyperbolic differential operatorsBy Christopher D. Sogge. 821

Unknotted solid tori and genus one Whitehead manifoldsBy Edward M. Brown. 835

Generalized Toda brackets and equivariant Moore spectraBy Steven R. Costenoble and Stefan Waner. 849

A recurrent nonrotational homeomorphism on the annulusBy Robbert J. Fokkink and Lex G. Oversteegen. 865

The minimal degree of a finite inverse semigroupBy Boris M. Schein. 877

Complete nonorientable minimal surfaces in i?3By Toru Ishihara. 889

Nilpotence and torsion in the cohomology of the Steenrod algebraBy Kenneth G Monks . 903

The uniqueness and stability of the solution of the Riemann problem of asystem of conservation laws of mixed type

By Haitao Fan. 913Corrigendum to "Characterizations of turbulent one-dimensional map-

pings via w-limit sets"By Michael J. Evans, Paul D. Humke, Cheng-Ming Lee andRichard J. O'Malley. 939

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Harmonic analysis, representation theory, and Lie theory to AVNER D. ASH, Depart-ment of Mathematics, The Ohio State University, 231 West 18th Avenue, Columbus,OH 43210

Abstract analysis to MASAMICHI TAKESAKI, Department of Mathematics, Univer-sity of California, Los Angeles, CA 90024

Real and harmonic analysis to DAVID JERISON, Department of Mathematics, Room2-180, Massachusetts Institute of Technology, Cambridge, MA 02139

Algebra and algebraic geometry to JUDITH D. SALLY, Department of Mathematics,Northwestern University, Evanston, IL 60208

Geometric topology, hyperbolic geometry, infinite group theory, and general topologyto PETER SHALEN, Department of Mathematics, Statistics and Computer Science,University of Illinois, Chicago, IL 60680

Algebraic topology and differential topology to RALPH COHEN, Department of Math-ematics, Stanford University, Stanford, CA 94305

Ordinary differential equations, partial differential equations, and applied mathemat-ics to JOHN MALLET-PARET, Division of Applied Mathematics, Brown University,Providence, RI 02912-9000

Global analysis and differential geometry to ROBERT L. BRYANT, Department ofMathematics, Duke University, Durham, NC 27706-7706

Probability and statistics to RICHARD DURRETT, Department of Mathematics,Cornell University, Ithaca, NY 14853-7901

Combinatorics and Lie theory to PHILIP J. HANLON, Department of Mathematics,University of Michigan, Ann Arbor, MI 48109-1003

Logic, set theory, general topology, and universal algebra to JAMES E. BAUMGART-NER, Department of Mathematics, Dartmouth College, Hanover, NH 03755

Algebraic number theory, analytic number theory, and automorphic forms to WEN-CHING WINNIE LI, Department of Mathematics, Pennsylvania State University, Uni-versity Park, PA 16802-6401

Complex analysis and nonlinear partial differential equations to SUN-YUNG A.CHANG, Department of Mathematics, University of California, Los Angeles, CA 90024

All other communications to the editors should be addressed to the ManagingEditor, JAMES E. BAUMGARTNER, Department of Mathematics, DartmouthCollege, Hanover, NH 03755.

MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETYThis bimonthly journal is devoted to research in pure and applied mathematics of

much the same nature as appears in Transactions. An issue consists of one or moreseparately bound research tracts for which the author(s) has provided reproduction copy.Prior to 1975 this was published as a monograph series. The editorial committee isidentical with that for the Transactions so that papers intended for publication in thisseries should be addressed to one of the editors.

(Continued from back cover)

Bounded analytic functions on two sheeted discsBy Mikihiro Hayashi, Mitsuru Nakai and Shigeo Segawa. 799

Uniqueness in Cauchy problems for hyperbolic differential operatorsBy Christopher D. Sogge. 821

Unknotted solid tori and genus one Whitehead manifoldsBy Edward M. Brown. 835

Generalized Toda brackets and equivariant Moore spectraBy Steven R. Costenoble and Stefan Waner. 849

A recurrent nonrotational homeomorphism on the annulusBy Robbert J. Fokkink and Lex G. Oversteegen. 865

The minimal degree of a finite inverse semigroupBy Boris M. Schein. 877

Complete nonorientable minimal surfaces in i?3By Toru Ishihara. 889

Nilpotence and torsion in the cohomology of the Steenrod algebraBy Kenneth G. Monks. 903

The uniqueness and stability of the solution of the Riemann problem of asystem of conservation laws of mixed type

By Haitao Fan. 913Corrigendum to "Characterizations of turbulent one-dimensional map-

pings via «y-limit sets"By Michael J. Evans, Paul D. Humke, Cheng-Ming Lee andRichard J. O'Malley. 939

1

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

Contents

Vol. 333, No. 2 October 1992 Whole No. 689

Differentials of complex interpolation processes for Köthe function spacesBy N. J. Kalton. 479

On automorphisms of Markov chainsBy Wolfgang Krieger, Brian Marcus and Selim Tuncel. 531

Equivariant cohomology and lower bounds for chromatic numbersBy Igor Kriz. 567

Lannes' T functor on summands of H*(B(Z/p)s)By John C. Harris and R. James Shank . 579

A Fatou theorem for the solution of the heàt equation at the corner pointsof a cylinder

By Kin Ming Hui. 607On the O-function of a Riemannian manifold with boundary

By Pei Hsu. 643Liouvillian first integrals of differential equations

By Michael F. Singer. 673Complemented ideals in the Fourier algebra and the Radon Nikodym prop-

ertyBy Brian Forrest. 689

Comparing periodic orbits of maps of the intervalBy C. Bernhardt, E. Coven, M. Misiurewicz and I. Mulvey ... 701

A topological method for bounded solutions of nonautonomous ordinarydifferential equations

By James R. Ward, Jr. 709Galois groups of maximal p-extensions

By Roger Ware. 721The index of a Brauer class on a Brauer-Severi variety

By Aidan Schofield and Michel van den Bergh. 729A spectral sequence for pseudogroups on R

By Solomon M. Jekel. 741Fourier inequalities with nonradial weights

By C. Carton-Lebrun. 751Radii of convergence and index for p-adic differential operators

By Paul Thomas Young. 769The set of all iterates is nowhere dense in C([0,1], [0,1])

By A. M. Blokh. 787

(Continued on inside back cover)