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Volume 45 (1993)
- Issue 4 Pages 447-
- Issue 3 Pages 311-
- Issue 2 Pages 147-
- Issue 1 Pages 1-
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Volume 45, Issue 4
Displaying 1-14 of 14 articles from this issue
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Dedicated to Professor Joji Kajiwara on his sixtieth birthdayEIICHI SATO1993 Volume 45 Issue 4 Pages 447-460
Published: December 01, 1993
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSThe author shows the existence of a smooth projective uniruled but not separably uniruled variety in positive characteristic satisfying the numerical condition of Miyaoka and Mori.It is a counterexample to a problem which Miyaoka and Mori posed.View full abstractDownload PDF (585K) -
KRZYSZTOF STEMPAK1993 Volume 45 Issue 4 Pages 461-469
Published: December 01, 1993
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSWe define and investigate the Hilbert transform for expansions with respect to the system of ultraspherical functions. Using deep estimates done by Muckenhoupt and Stein in the polynomial expansion case we prove the existence of boundary values of the conjugate Poisson integrals of integrable functions. The limit function then satisfies usual Lpand weak type ( 1, 1 ) estimates.View full abstractDownload PDF (284K) -
SAMPEI USUI1993 Volume 45 Issue 4 Pages 471-484
Published: December 01, 1993
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSIn this article, we shall generalize a theorem of Cattani and Kaplan on horizontal representations of SL(2). Their theorem plays an important role in the construction of their partial compactifications of the classifying spaces D modulo an arithmetic subgroup of Hodge structures of weight 2.View full abstractDownload PDF (470K) -
KATSUHISA MIMACHI1993 Volume 45 Issue 4 Pages 485-490
Published: December 01, 1993
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSThe holonomic q-difference system of the first order associated with the basic hypergeometric series is derived. The Wronskian of this system is also calculated.View full abstractDownload PDF (183K) -
MANABU SHIROSAKI1993 Volume 45 Issue 4 Pages 491-497
Published: December 01, 1993
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSMeromorphic functions on the complex plane which have the same inverse images counting multiplicities for four values are Mobius transforms of each other. The aim of this paper is to give an extension of this statement to moving targets.View full abstractDownload PDF (241K) -
RUBÉN A. HIDALGO1993 Volume 45 Issue 4 Pages 499-503
Published: December 01, 1993
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSWe extend a result on homology coverings of closed Riemann surfaces due to Maskit [1] to the class of analytically finite ones. We show that if S is an analyti-cally finite hyperbolic Riemann surface, then its conformal structure is determined by the conformal structure of its homology cover. The homology cover of a Riemann surface S is the highest regular covering of S with an Abelian group of covering transformations. In fact, we show that the commutator subgroup of any torsion-free, finitely generated Fuchsian group of the first kind determines it uniquely.View full abstractDownload PDF (206K) -
HIDEO IMAI1993 Volume 45 Issue 4 Pages 505-510
Published: December 01, 1993
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSWe consider p-adic analogues of multiple gamma functions, and express values of p-adic L-functions at positive integers in terms of these p-adic multiple gamma functions.View full abstractDownload PDF (207K) -
EDWARD CLINE, BRIAN PARSHALL, LEONARD SCOTT1993 Volume 45 Issue 4 Pages 511-534
Published: December 01, 1993
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSIn this paper, we prove two main results. The first establishes that Lusztig's conjecture for the characters of the irreducible representations of a semisimple algebraic group in positive characteristic is equivalent to a simple assertion that certain pairs of irreducible modules have non-split extensions. The pairs of irreducible modules in question are those with regular dominant weights which are mirror images of each other in adjacent alcoves (in the Jantzen region). Secondly, we establish that the validity of the Lusztig conjecture yields a complete calculation of all Yoneda Ext groups between irreducible modules having regular dominant weights in the Jantzen region. These results arise from a general theory involving so-called Kazhdan-Lusztig theories in an abstract highest weight category. Accordingly, our results are applicable to a number of other situations, including the Bernstein-Gelfand-Gelfand category for a complex Lie algebra and the category of modules for a quantum group at a root of unity.View full abstractDownload PDF (1194K) -
THOMAS BRADY1993 Volume 45 Issue 4 Pages 535-537
Published: December 01, 1993
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSWe define a notion of one group acting on a free resolution for another and show how this can lead to a free resolution for the semi-direct product. We apply this result to obtain a free resolution for dihedral groups.View full abstractDownload PDF (111K) -
Shengwang WANG, Ivan ERDELYI1993 Volume 45 Issue 4 Pages 539-554
Published: 1993
Released on J-STAGE: March 18, 2014
JOURNAL FREE ACCESSThis paper is devoted to the study of ergodic properties of strongly and weakly continuous semigroups of operators on Banach spaces. Some new equivalent conditions are given for strong and weak ergodic properties in the locally integrable case. Such conditions are applied to the study of the quasi-weakly Y-integrable semigroups.View full abstractDownload PDF (978K) -
BRUCE G. SLOSS, WILLIAM F. BLYTH1993 Volume 45 Issue 4 Pages 555-563
Published: December 01, 1993
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSA Weyl criterion using Walsh functions is established and the relation between uniform distribution mod 1 and dyadic addition on the real line is investigated. Further, we develop the relationship between the modified integrals of the Walsh func-tions and uniform distribution mod1:a "Walsh integrals" Weyl criterion is developed and analogues of the LeVeque inequality and the Erdös-Turán inequality are obtained. These bounds are easier to compute than the classical bounds.View full abstractDownload PDF (245K) -
ILDEFONSO CASTRO, FRANCISCO URBANO1993 Volume 45 Issue 4 Pages 565-582
Published: December 01, 1993
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSWe completely classify the compact orientable Lagrangian surfaces in the complex Euclidean plane with conformal Maslov form, obtaining a new family of embedded Lagrangian tori.View full abstractDownload PDF (710K) -
GEORGE KARAKOSTAS, I.P. STAVROULAKIS, YUMEI WU1993 Volume 45 Issue 4 Pages 583-605
Published: December 01, 1993
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSThe oscillatory behavior of the solutions of a Volterra type equation with delay is investigated. Sufficient conditions on the kernel are given which guarantee that the oscillatory character of the forcing term is inherited by the solutions.View full abstractDownload PDF (659K) -
NOBUMITSU NAKAUCHI1993 Volume 45 Issue 4 Pages 607
Published: December 01, 1993
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSDownload PDF (18K)
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