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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 :
Yun Sung Choi
Volume & Issues
Volume 50, Issue 6 - Nov 2013
Volume 50, Issue 5 - Sep 2013
Volume 50, Issue 4 - Jul 2013
Volume 50, Issue 3 - May 2013
Volume 50, Issue 2 - Mar 2013
Volume 50, Issue 1 - Jan 2013
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1
ORTHOGONAL ALMOST COMPLEX STRUCTURES ON THE RIEMANNIAN PRODUCTS OF EVEN-DIMENSIONAL ROUND SPHERES
Euh, Yunhee ; Sekigawa, Kouei ;
Journal of the Korean Mathematical Society, volume 50, issue 2, 2013, Pages 231~240
DOI : 10.4134/JKMS.2013.50.2.231
Abstract
We discuss the integrability of orthogonal almost complex structures on Riemannian products of even-dimensional round spheres and give a partial answer to the question raised by E. Calabi concerning the existence of complex structures on a product manifold of a round 2-sphere and of a round 4-sphere.
2
CUBIC SYMMETRIC GRAPHS OF ORDER 10p
^{3}
Ghasemi, Mohsen ;
Journal of the Korean Mathematical Society, volume 50, issue 2, 2013, Pages 241~257
DOI : 10.4134/JKMS.2013.50.2.241
Abstract
An automorphism group of a graph is said to be
-regular if it acts regularly on the set of
-arcs in the graph. A graph is
-regular if its full automorphism group is
-regular. In the present paper, all
-regular cubic graphs of order
are classified for each
and each prime
.
3
AN APPROACH TO SOLUTION OF THE SCHRÖDINGER EQUATION USING FOURIER-TYPE FUNCTIONALS
Chang, Seung Jun ; Choi, Jae Gil ; Chung, Hyun Soo ;
Journal of the Korean Mathematical Society, volume 50, issue 2, 2013, Pages 259~274
DOI : 10.4134/JKMS.2013.50.2.259
Abstract
In this paper, we consider the Fourier-type functionals on Wiener space. We then establish the analytic Feynman integrals involving the
-convolutions. Further, we give an approach to solution of the Schr
dinger equation via Fourier-type functionals. Finally, we use this approach to obtain solutions of the Schr
dinger equations for harmonic oscillator and double-well potential. The Schr
dinger equations for harmonic oscillator and double-well potential are meaningful subjects in quantum mechanics.
4
INVARIANT DIFFERENTIAL OPERATORS ON THE MINKOWSKI-EUCLID SPACE
Yang, Jae-Hyun ;
Journal of the Korean Mathematical Society, volume 50, issue 2, 2013, Pages 275~306
DOI : 10.4134/JKMS.2013.50.2.275
Abstract
For two positive integers
and
, let
be the open convex cone in
consisting of positive definite
real symmetric matrices and let
be the set of all
real matrices. In this paper, we investigate differential operators on the non-reductive homogeneous space
that are invariant under the natural action of the semidirect product group
on the Minkowski-Euclid space
. These invariant differential operators play an important role in the theory of automorphic forms on
generalizing that of automorphic forms on
.
5
ON m, n-BALANCED PROJECTIVE AND m, n-TOTALLY PROJECTIVE PRIMARY ABELIAN GROUPS
Keef, Patrick W. ; Danchev, Peter V. ;
Journal of the Korean Mathematical Society, volume 50, issue 2, 2013, Pages 307~330
DOI : 10.4134/JKMS.2013.50.2.307
Abstract
If
and
are non-negative integers, then three new classes of abelian
-groups are defined and studied: the
,
-simply presented groups, the
,
-balanced projective groups and the
,
-totally projective groups. These notions combine and generalize both the theories of simply presented groups and
-projective groups. If
, $n
6
CONVOLUTION SUMS ARISING FROM DIVISOR FUNCTIONS
Kim, Aeran ; Kim, Daeyeoul ; Yan, Li ;
Journal of the Korean Mathematical Society, volume 50, issue 2, 2013, Pages 331~360
DOI : 10.4134/JKMS.2013.50.2.331
Abstract
Let
denote the sum of the sth powers of the positive divisors of a positive integer N and let $\tilde{\sigma}_s(N)
7
COMPRESS MULTIPLE CIPHERTEXTS USING ELGAMAL ENCRYPTION SCHEMES
Kim, Myungsun ; Kim, Jihye ; Cheon, Jung Hee ;
Journal of the Korean Mathematical Society, volume 50, issue 2, 2013, Pages 361~377
DOI : 10.4134/JKMS.2013.50.2.361
Abstract
In this work we deal with the problem of how to squeeze multiple ciphertexts without losing original message information. To do so, we formalize the notion of decomposability for public-key encryption and investigate why adding decomposability is challenging. We construct an ElGamal encryption scheme over extension fields, and show that it supports the efficient decomposition. We then analyze security of our scheme under the standard DDH assumption, and evaluate the performance of our construction.
8
ON THE COMPLETE CONVERGENCE FOR ARRAYS OF ROWWISE EXTENDED NEGATIVELY DEPENDENT RANDOM VARIABLES
Qiu, Dehua ; Chen, Pingyan ; Antonini, Rita Giuliano ; Volodin, Andrei ;
Journal of the Korean Mathematical Society, volume 50, issue 2, 2013, Pages 379~392
DOI : 10.4134/JKMS.2013.50.2.379
Abstract
A general result for the complete convergence of arrays of rowwise extended negatively dependent random variables is derived. As its applications eight corollaries for complete convergence of weighted sums for arrays of rowwise extended negatively dependent random variables are given, which extend the corresponding known results for independent case.
9
TWO GENERALIZATIONS OF LCM-STABLE EXTENSIONS
Chang, Gyu Whan ; Kim, Hwankoo ; Lim, Jung Wook ;
Journal of the Korean Mathematical Society, volume 50, issue 2, 2013, Pages 393~410
DOI : 10.4134/JKMS.2013.50.2.393
Abstract
Let
be an extension of integral domains, X be an indeterminate over T, and R[X] and T[X] be polynomial rings. Then
is said to be LCM-stable if $(aR{\cap}bR)T
10
ELLIPTIC EQUATIONS WITH COMPACTLY SUPPORTED SOLUTIONS
Arena, Orazio ; Giannotti, Cristina ;
Journal of the Korean Mathematical Society, volume 50, issue 2, 2013, Pages 411~423
DOI : 10.4134/JKMS.2013.50.2.411
Abstract
For any
and arbitrary
with compact support, it is proved that there exists a pair (L,
), with L second order uniformly elliptic operator and
such that $Lu
11
SOME HYPERBOLIC SPACE FORMS WITH FEW GENERATED FUNDAMENTAL GROUPS
Cavicchioli, Alberto ; Molnar, Emil ; Telloni, Agnese I. ;
Journal of the Korean Mathematical Society, volume 50, issue 2, 2013, Pages 425~444
DOI : 10.4134/JKMS.2013.50.2.425
Abstract
We construct some hyperbolic hyperelliptic space forms whose fundamental groups are generated by only two or three isometries. Each occurring group is obtained from a supergroup, which is an extended Coxeter group generated by plane re ections and half-turns. Then we describe covering properties and determine the isometry groups of the constructed manifolds. Furthermore, we give an explicit construction of space form of the second smallest volume nonorientable hyperbolic 3-manifold with one cusp.
12
THE CUSP STRUCTURE OF THE PARAMODULAR GROUPS FOR DEGREE TWO
Poor, Cris ; Yuen, David S. ;
Journal of the Korean Mathematical Society, volume 50, issue 2, 2013, Pages 445~464
DOI : 10.4134/JKMS.2013.50.2.445
Abstract
We describe the one-dimensional and zero-dimensional cusps of the Satake compactification for the paramodular groups in degree two for arbitrary levels. We determine the crossings of the one-dimensional cusps. Applications to computing the dimensions of Siegel modular forms are given.