Volume InformationSource: Transactions of the American Mathematical Society, Vol. 317, No. 2 (Feb., 1990)Published by: American Mathematical SocietyStable URL: http://www.jstor.org/stable/2001470 .

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VOLUME 317 1990

TRANSACTIONS OF THE

A M E R I C A N M AT H E M AT I C A L S O C I E T Y

EDITED BY

Avner D. Ash James E. Baumgartner James W. Cannon Ralph Cohen Burgess Davis Eugene Fabes Jerry L. Kazdan Roger D. Nussbaum Carl Pomerance Judith D. Sally David J. Saltman, Managing Editor Masamichi Takesaki Audrey Terras

PROVIDENCE, RHODE ISLAND USA

ISSN 0002-9947

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INDEX TO VOLUME 317 January-February 1990

Adachi, Kenzo. Extending HP functions from subvarieties to real ellipsoids, 351. Aluffi, Paolo. The enumerative geometry of plane cubics. I: Smooth cubics, 501. Amasaki, Mutsumi. Application of the generalized Weierstrass preparation theorem to the study of

homogeneous ideals, 1. Aslaksen, Helmer. Laws of trigonometry on SU(3), 127. Bressler, Paul and Evens, Sam. The Schubert calculus, braid relations, and generalized cohomology,

799. Brown, K. A., Goodearl, K. R. and Lenagan, T. H. Prime ideals in differential operator rings.

Catenarity, 749. Brungs, H. H. and Grater, J. Extensions of valuation rings in central simple algebras, 287. Carlson, James W. The spectra and commutants of some weighted composition operators, 631. Chou, Ching. Almost periodic operators in VN(G), 229. Cwikel, M., Jawerth, B. and Milman, M. The domain spaces of quasilogarithmic operators, 599. Derezifiski, Jan. The Mourre estimate for dispersive N-body Schrodinger operators, 773. Deza, M. and Maehara, H. Metric transforms and Euclidean embeddings, 661. Evens, Sam. See Bressler, Paul Filliman, P. The extreme projections of the regular simplex, 611. Ghoussoub, N., Maurey, B. and Schachermayer, W. Geometrical implications of certain infinite

dimensional decompositions, 541. Globevnik, Josip. Zero integrals on circles and characterizations of harmonic and analytic functions,

313. Goodearl, K. R. See Brown, K. A. Grater, J. See Brungs, H. H. Jawerth, B. See Cwikel, M. Jessup, Barry. Rational approximations to L-S category and a conjecture of Ganea, 655. Jolissaint, Paul. Rapidly decreasing functions in reduced C*-algebras of groups, 167. Jones, Lenny K. Centers of generic Hecke algebras, 361. Kovachev, Valery and Popov, Georgi. Invariant tori for the billiard ball map, 45. LeBruyn, Lieven and Procesi, Claudio. Semisimple representations of quivers, 585. Le Gall, Jean-Francois and Yor, Marc. Enlacements du mouvement brownien autour des courbes

de l'espace, 687. Lenagan, T. H. See Brown, K. A. Maehara, H. See Deza, M. Magidor, Menachem. Representing sets of ordinals as countable unions of sets in the core model,

91. Maurey, B. See Ghoussoub, N. Milman, M. See Cwikel, M. Minc, Piotr. A fixed point theorem for weakly chainable plane continua, 303. Muller, Paul F. X. On linear topological properties of H' on spaces of homogeneous type, 463. Ohta, Haruto and Tamano, Ken-Ichi. Topological spaces whose Baire measure admits a regular

Borel extension, 393. Perthame, B. Perturbed dynamical systems with an attracting singularity and weak viscosity limits

in Hamilton-Jacobi equations, 723. Popov, Georgi. See Kovachev, Valery Procesi, Claudio. See LeBruyn, Lieven Schachermayer, W. See Ghoussoub, N. Schmidt, Wolfgang M. The number of solutions of norm form equations, 197. Silver, Daniel S. Construction by isotopy. II, 813.

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INDEX TO VOLUME 317

Slodkowski, Zbigniew. Complex interpolation of normed and quasinormed spaces in several dimen- sions. II. Properties of harmonic interpolation, 255.

Smith, Larry. Replacing homotopy actions by topological actions. II, 83. Sussmann, H. J. Real-analytic desingularization and subanalytic sets: An elementary approach,

417. Tamano, Ken-Ichi. See Ohta, Haruto Temple, Blake. Weak stability in the global L'-norm for systems of hyperbolic conservation laws,

673. Wagoner, J. B. Eventualfinite order generation for the kernel of the dimension group representation,

331. Witte, Dave. Topological equivalence offoliations of homogeneous spaces, 143. Yagita, N. Equivariant BP-cohomologyforfinite groups, 485. Yor, Marc. See Le Gall, Jean-Francois

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TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

CONTENTS

Vol. 317, No. 1 January 1990 Whole No. 656

Application of the generalized Weierstrass preparation theorem to the study of homogeneous ideals

By MUTSUMI AMASAKIM.

Invariant tori for the billiard ball map By VALERY KOVACHEV and GEORGI PoPov ..... ................. 45

Replacing homotopy actions by topological actions. II By LARRY SMITH . .............................................. 83

Representing sets of ordinals as countable unions of sets in the core model

By MENACHEM MAGIDOR .......... ............................ 91 Laws of trigonometry on SU(3)

By HELMER ASLAKSEN ........... .............................. 127 Topological equivalence of foliations of homogeneous spaces

By DAVE WITTE . .............................................. 143 Rapidly decreasing functions in reduced C*-algebras of groups

By PAUL JOLISSAINT ............ ............................... 167 The number of solutions of norm form equations

By WOLFGANG M. SCHMIDT ......... ........................... 197 Almost periodic operators in VN(G)

By CHING CHOU . .............................................. 229 Complex interpolation of normed and quasinormed spaces in several di-

mensions. II. Properties of harmonic interpolation

By ZBIGNIEW SLODKOWSKI ..................................... 255 Extensions of valuation rings in central simple algebras

By H. H. BRUNGs and J. GRATER ....... ........................ 287 A fixed point theorem for weakly chainable plane continua

By PIOTR MINC . .............................................. 303 Zero integrals on circles and characterizations of harmonic and analytic

functions

By JosIP GLOBEVNIK ........................................... 313 Eventual finite order generation for the kernel of the dimension group

representation

By J. B. WAGONER ............. ............................... 331 Extending HP functions from subvarieties to real ellipsoids

By KENZO ADACHI ............. ............................... 351 Centers of generic Hecke algebras

By LENNY K. JONES ............ ............................... 361 Topological spaces whose Baire measure admits a regular Borel extension

By HARUTO OHTA and KEN-ICHI TAMANO ....................... 393

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TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

CONTENTS

Vol. 317, No. 2 February 1990 Whole No. 657

Real-analytic desingularization and subanalytic sets: An elementary ap- proach

By H. J. SUSSMANN ............................................ 417 On linear topological properties of H' on spaces of homogeneous type

By PAUL F. X. MULLER ........................................ 463 Equivariant BP-cohomology for finite groups

By N. YAGITA ................................................. 485

The enumerative geometry of plane cubics. I: Smooth cubics By PAOLO ALUFFI .............. ............................... 501

Geometrical implications of certain infinite dimensional decompositions By N. GHOUSSOUB, B. MAUREY and W. SCHACHERMAYER ......... 541

Semisimple representations of quivers By LIEVEN LEBRUYN and CLAUDIO PROCESI ...... ............... 585

The domain spaces of quasilogarithmic operators By M. CWIKEL, B. JAWERTH and M. MILMAN ...... .............. 599

The extreme projections of the regular simplex By P. FILLIMAN ................ ............................... 611

The spectra and commutants of some weighted composition operators

By JAMES W. CARLSON ......................................... 631

Rational approximations to L-S category and a conjecture of Ganea By BARRY JESSUP ............... ............................... 655

Metric transforms and Euclidean embeddings By M. DEZA and H. MAEHARA ........ ......................... 661

Weak stability in the global LI-norm for systems of hyperbolic conserva- tion laws

By BLAKE TEMPLE ............................................. 673 Enlacements du mouvement brownien autour des courbes de l'espace

By JEAN-FRANCOIs LE GALL and MARC YOR ..................... 687

Perturbed dynamical systems with an attracting singularity and weak vis- cosity limits in Hamilton-Jacobi equations

By B. PERTHAME ............... ............................... 723 Prime ideals in differential operator rings. Catenarity

By K. A. BROWN, K. R. GOODEARL and T. H. LENAGAN .... ...... 749 The Mourre estimate for dispersive N-body Schrodinger operators

By JAN DEREZITNSKI ............................................ 773

The Schubert calculus, braid relations, and generalized cohomology By PAUL BRESSLER and SAM EVENS ....... ...................... 799

Construction by isotopy. II By DANIEL S. SILVER ............ .............................. 813

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