Kyushu Journal of Mathematics

STABILITY OF RAREFACTION WAVES FOR A MODEL SYSTEM OF A RADIATING GAS

Shuichi KAWASHIMA, Yoshihito TANAKA

2004 年 58 巻 2 号 p. 211-250
発行日: 2004年
公開日: 2005/03/24

DOIhttps://doi.org/10.2206/kyushujm.58.211

ジャーナルフリー

PDF形式でダウンロード (246K)
ZEROS OF EISENSTEIN SERIES

Winfried KOHNEN

2004 年 58 巻 2 号 p. 251-256
発行日: 2004年
公開日: 2005/03/24

DOIhttps://doi.org/10.2206/kyushujm.58.251

ジャーナルフリー

PDF形式でダウンロード (64K)
RANDOM BOUNDED OPERATORS AND THEIR EXTENSION

Dang Hung THANG, Nguyen THINH

2004 年 58 巻 2 号 p. 257-276
発行日: 2004年
公開日: 2005/03/24

DOIhttps://doi.org/10.2206/kyushujm.58.257

ジャーナルフリー

抄録を表示する抄録を非表示にする

In this paper, the random bounded operators from a Banach space X into a Banach space Y and the problem of extending random operators are investigated. It is shown that unlike the deterministic bounded operators, the random version of the principle of uniform boundedness and the Banach-Steinhaus theorem do not hold for random bounded operators. In addition, a random operator can be extended to apply to all random inputs if and only if it is bounded. As a consequence, we conclude that the Ito stochastic integral cannot be extended in a natural fashion to all random functions with square-integrable sample paths.

抄録全体を表示

PDF形式でダウンロード (139K)
ON THE SPECTRUM AND THE LOWEST EIGENVALUE OF CERTAIN NON-COMMUTATIVE HARMONIC OSCILLATORS

Alberto PARMEGGIANI

2004 年 58 巻 2 号 p. 277-322
発行日: 2004年
公開日: 2005/03/24

DOIhttps://doi.org/10.2206/kyushujm.58.277

ジャーナルフリー

抄録を表示する抄録を非表示にする

We study here various expansions and approximations of the spectrum of non-commutative harmonic oscillators of the type
Q (x, D_x) = A (−∂_x²/2 + x²/2) + B (x∂_x + 1/2), x ∈ R,
where A, B are constant 2 × 2 matrices such that A is real symmetric positive (or negative) definite and B ≠ 0 is real skew-symmetric, when the Hermitian matrix A + iB is positive (or negative) definite. Special emphasis is put on the lowest eigenvalue. These expansions are written in terms of det(A )/pf(B )² in the limit det(A ) → +∞ for constant pf(B ) and constant Tr(A )/√det(A ).

抄録全体を表示

PDF形式でダウンロード (305K)
DIFFERENTIAL EQUATIONS FOR INVARIANT CURVES UNDER KLEIN'S SIMPLE GROUP OF ORDER 168

Mitsuo KATO

2004 年 58 巻 2 号 p. 323-336
発行日: 2004年
公開日: 2005/03/24

DOIhttps://doi.org/10.2206/kyushujm.58.323

ジャーナルフリー

PDF形式でダウンロード (135K)
SELBERG ZETA FUNCTIONS OF INFINITE SYMMETRIC GROUPS

Kazufumi KIMOTO

2004 年 58 巻 2 号 p. 337-352
発行日: 2004年
公開日: 2005/03/24

DOIhttps://doi.org/10.2206/kyushujm.58.337

ジャーナルフリー

抄録を表示する抄録を非表示にする

The main purpose of this paper is to seek a reasonable formulation of Selberg zeta functions of infinite symmetric groups and calculate actual candidates of them. In order to achieve this, we introduce a (Selberg-type) zeta function attached to a finite group action G ?? X. As candidates of Selberg zeta functions of the infinite symmetric group ?? _∞, we calculate a (normalized) limit of the zeta functions of finite symmetric group actions. We also show that this zeta function is a generating function of certain quantities called moments of the action, which determine the multiple transitivity of group actions.

抄録全体を表示

PDF形式でダウンロード (123K)
ON THE FIRST SUBCONSTITUENT OF A QUADRATIC FORMS SCHEME

Seiichi IWAMOTO

2004 年 58 巻 2 号 p. 353-371
発行日: 2004年
公開日: 2005/03/24

DOIhttps://doi.org/10.2206/kyushujm.58.353

ジャーナルフリー

抄録を表示する抄録を非表示にする

As a step to find the eigenvalues of the first subconstituent X₁ of a quadratic forms scheme, we determine the orbits of GL_n(q ) acting on X₁ × X₁.

抄録全体を表示

PDF形式でダウンロード (159K)
EXISTENCE OF GLOBAL SOLUTIONS FOR THE KIRCHHOFF-TYPE QUASILINEAR WAVE EQUATION IN EXTERIOR DOMAINS WITH A HALF-LINEAR DISSIPATION

Mitsuhiro NAKAO

2004 年 58 巻 2 号 p. 373-391
発行日: 2004年
公開日: 2005/03/24

DOIhttps://doi.org/10.2206/kyushujm.58.373

ジャーナルフリー

PDF形式でダウンロード (132K)
AN AUGMENTATION OF THE PHASE SPACE OF THE SYSTEM OF TYPE A₄⁽¹⁾

Nobuhiko TAHARA

2004 年 58 巻 2 号 p. 393-425
発行日: 2004年
公開日: 2005/03/24

DOIhttps://doi.org/10.2206/kyushujm.58.393

ジャーナルフリー

抄録を表示する抄録を非表示にする

We investigate the differential system with affine Weyl group symmetry of type A₄⁽¹⁾ and construct a space which parametrizes all meromorphic solutions of it. To demonstrate our method based on singularity analysis and affine Weyl group symmetry, we first study the system of type A₂⁽¹⁾, which is the equivalent of the fourth Painlevé equation, and obtain the space which augments the original phase space of the system by adding spaces of codimension 1. For the system of type A₄⁽¹⁾, codimension 2 spaces should be added to the phase space of the system in addition to codimension 1 spaces.

抄録全体を表示

PDF形式でダウンロード (220K)

J-STAGEへの登録はこちら（無料）