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Journal of the Korean Mathematical Society
Journal Basic Information
pISSN :
0304-9914
eISSN :
2234-3008
Journal DOI :
10.4134/JKMS
Frequency :
Others
Publisher:
The Korean Mathematical Society
Editor in Chief :
Volume & Issues
Volume 42, Issue 6 - Nov 2005
Volume 42, Issue 5 - Sep 2005
Volume 42, Issue 4 - Jul 2005
Volume 42, Issue 3 - May 2005
Volume 42, Issue 2 - Feb 2005
Volume 42, Issue 1 - Jan 2005
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1
A MEAN CONDITION ON FORCING TERM FOR MULTIPLICITY OF PERIODIC SOLUTIONS FOR NONLINEAR DISSIPATIVE HYPERBOLIC EQUATIONS
KIM WAN SE ;
Journal of the Korean Mathematical Society, volume 42, issue 2, 2005, Pages 191~202
DOI : 10.4134/JKMS.2005.42.2.191
Abstract
A condition on forcing term insuring the multiplicity of Dirichlet-periodic solutions of nonlinear dissipative hyperbolic equations is discussed. The nonlinear term is assumed to have coercive growth.
2
CLASS FIELDS FROM THE FUNDAMENTAL THOMPSON SERIES OF LEVEL N = o(g)
CHOI So YOUNG ; Koo JA KYUNG ;
Journal of the Korean Mathematical Society, volume 42, issue 2, 2005, Pages 203~222
DOI : 10.4134/JKMS.2005.42.2.203
Abstract
Thompson series is a Hauptmodul for a genus zero group which lies between
o(N) and its normalizer in PSL2(R) ([1]). We construct explicit ring class fields over an imaginary quadratic field K from the Thompson series
(
) (Theorem 4), which would be an extension of [3], Theorem 3.7.5 (2) by using the Shimura theory and the standard results of complex multiplication. Also we construct various class fields over K, over a CM-field K (
), and over a field K (
). Furthermore, we find an explicit formula for the conjugates of Tg (
) to calculate its minimal polynomial where
(
) is the quotient of a basis of an integral ideal in K.
3
RANK INEQUALITIES OVER SEMIRINGS
BEASLEY LeRoy B. ; GUTERMAN ALEXANDER E. ;
Journal of the Korean Mathematical Society, volume 42, issue 2, 2005, Pages 223~241
DOI : 10.4134/JKMS.2005.42.2.223
Abstract
Inequalities on the rank of the sum and the product of two matrices over semirings are surveyed. Preferences are given to the factor rank, row and column ranks, term rank, and zero-term rank of matrices over antinegative semirings.
4
NEW RESULTS ABOUT ORTHOGONALITY PRESERVING MAPS
MARONI PASCAL ;
Journal of the Korean Mathematical Society, volume 42, issue 2, 2005, Pages 243~254
DOI : 10.4134/JKMS.2005.42.2.243
Abstract
The Alaway's theorem on orthogonality preserving maps [1] is revisited and we provide a new proof of this result, through an original separation property involving regular forms. In fact, we show a light more general result concerning weakly orthogonal sequences(see section 3).
5
PERIODIC SOLUTIONS IN NONLINEAR NEUTRAL DIFFERENCE EQUATIONS WITH FUNCTIONAL DELAY
MAROUN MARIETTE R. ; RAFFOUL YOUSSEF N. ;
Journal of the Korean Mathematical Society, volume 42, issue 2, 2005, Pages 255~268
DOI : 10.4134/JKMS.2005.42.2.255
Abstract
We use Krasnoselskii's fixed point theorem to show that the nonlinear neutral difference equation with delay x(t + 1) = a(t)x(t) + c(t)
x(t - g(t)) + q(t, x(t), x(t - g(t)) has a periodic solution. To apply Krasnoselskii's fixed point theorem, one would need to construct two mappings; one is contraction and the other is compact. Also, by making use of the variation of parameters techniques we are able, using the contraction mapping principle, to show that the periodic solution is unique.
6
A CLASS OF NONLINEAR STOCHASTIC DIFFERENTIAL EQUATIONS(SDES) WITH JUMPS DERIVED BY PARTICLE REPRESENTATIONS
KWON YOUNGMEE ; KANG HYE-JEONG ;
Journal of the Korean Mathematical Society, volume 42, issue 2, 2005, Pages 269~289
DOI : 10.4134/JKMS.2005.42.2.269
Abstract
An infinite system of stochastic differential equations (SDE)driven by Brownian motions and compensated Poisson random measures for the locations and weights of a collection of particles is considered. This is an analogue of the work by Kurtz and Xiong where compensated Poisson random measures are replaced by white noise. The particles interact through their weighted measure V, which is shown to be a solution of a stochastic differential equation. Also a limit theorem for system of SDE is proved when the corresponding Poisson random measures in SDE converge to white noise.
7
CAUCHY COMPLETION OF CSASZAR FRAMES
CHUNG SE HWA ;
Journal of the Korean Mathematical Society, volume 42, issue 2, 2005, Pages 291~304
DOI : 10.4134/JKMS.2005.42.2.291
Abstract
We introduce a concept of Cauchy complete Csaszar frames and construct Cauchy completions of Csaszar frames using strict extensions of frames and show that the Cauchy completion gives rise to a coreflection in the categories CsFrm and UCsFrm.
8
DECAY CHARACTERISTICS OF THE HAT INTERPOLATION WAVELET COEFFICIENTS IN THE TWO-DIMENSIONAL MULTIRESOLUTION REPRESENTATION
KWON KIWOON ; KIM YOON YOUNG ;
Journal of the Korean Mathematical Society, volume 42, issue 2, 2005, Pages 305~334
DOI : 10.4134/JKMS.2005.42.2.305
Abstract
The objective of this study is to analyze the decay characteristics of the hat interpolation wavelet coefficients of some smooth functions defined in a two-dimensional space. The motivation of this research is to establish some fundamental mathematical foundations needed in justifying the adaptive multiresolution analysis of the hat-interpolation wavelet-Galerkin method. Though the hat-interpolation wavelet-Galerkin method has been successful in some classes of problems, no complete error analysis has been given yet. As an effort towards this direction, we give estimates on the decaying ratios of the wavelet coefficients at children interpolation points to the wavelet coefficient at the parent interpolation point. We also give an estimate for the difference between non-adaptively and adaptively interpolated representations.
9
A THEOREM OF CLIFFORD TYPE FOR LINEAR SYSTEMS ON CURVES
HARUI TAKESHI ;
Journal of the Korean Mathematical Society, volume 42, issue 2, 2005, Pages 335~351
DOI : 10.4134/JKMS.2005.42.2.335
Abstract
This paper concerns the relation between the degree and the projective dimension of linear systems on curves. We generalize Clifford's theorem and its improvement by Coppens and G. Martens and classify the special curves for our problem, and estimate their gonality.
10
ON (α, δ)-SKEW ARMENDARIZ RINGS
MOUSSAVI A. ; HASHEMI E. ;
Journal of the Korean Mathematical Society, volume 42, issue 2, 2005, Pages 353~363
DOI : 10.4134/JKMS.2005.42.2.353
Abstract
For a ring endomorphism
and an
-derivation
, we introduce (
,
)-skew Armendariz rings which are a generalization of
-rigid rings and Armendariz rings, and investigate their properties. A semi prime left Goldie ring is
-weak Armendariz if and only if it is
-rigid. Moreover, we study on the relationship between the Baerness and p.p. property of a ring R and these of the skew polynomial ring R[x;
,
] in case R is (
,
)-skew Armendariz. As a consequence we obtain a generalization of [11], [14] and [16].
11
FREE LIE SUPERALGEBRAS AND THE REPRESENTATIONS OF gl(m, n) AND q(n)
KWON JAE-HOON ;
Journal of the Korean Mathematical Society, volume 42, issue 2, 2005, Pages 365~386
DOI : 10.4134/JKMS.2005.42.2.365
Abstract
Let L be the free Lie superalgebra generated by a
-graded vector space V over C. Suppose that g is a Lie superalgebra gl(m, n) or q(n). We study the g-module structure on the kth homogeneous component Lk of L when V is the natural representation of g. We give the multiplicities of irreducible representations of g in Lk by using the character of Lk. The multiplicities are given in terms of the character values of irreducible (projective) representations of the symmetric groups.
12
HYPONORMAL TOEPLITZ OPERATORS ON THE BERGMAN SPACE
HWANG IN SUNG ;
Journal of the Korean Mathematical Society, volume 42, issue 2, 2005, Pages 387~403
DOI : 10.4134/JKMS.2005.42.2.387
Abstract
In this note we consider the hyponormality of Toeplitz operators
on the Bergman space
(D) with symbol in the class of functions f + g with polynomials f and g