関数解析的手法による位相力学系の研究

（1） S. Kawamura是1999年在赔偿委员会和山形大学开始和结束的首席调查员组织了两个讲习班。他在公制度量空间上研究了混沌地图。正如他研究使用的运算符代数理论的一种方法，并获得了一些重要的结果，以讨论混沌地图和波浪形理论。（2） J. Tomiyama has clarified the structure of bounded orbit equivalence of topological dynamical systems for the interplay between topolocicl dynamics and C*-theory。他也被归类为同源性C*-代数，以展示其与一般异构性问题连接的结构。（三） F. Uchida展示了非紧凑型半简单谎言组的平滑行为。更不用说他明确的构造和分类了Sp（p，q）对（4p+4 q-1）的平滑操作。（四） T. Okayasu获得了一些重要的结果，讨论了Lowener-Hainz在Banach*-代数和一个多变量冯·诺伊曼的不平等。（五） S. Mori proved， for any given transcendental meromorphic mapping of C-D1 m-D1 into P-D1（C），其中一个可以eliminate all defects （deficient hyperplanes， deficient hypersurfaces）和defects of rational moving targets by a small deformation of the mapping，同时也提供了meromorphic mappings没有defects in dense in a space of transcendental meromorphic mappings。（六） E. Sato研究了Banach代数M（p，q），它定义了无限紧凑的阿贝尔群中Lp（G）到Lq（G）的翻译不变运算符。此外，我研究了n-dimensional Euclidian空间中最大傅立叶倍增器的连续性转换到n-dimensional torus中的那些。

(1) S. Kawamura who is the head investigator organized two workshops in UNCC and Yamagata University in the beginning and the end of 1999 respectively. Moreover he studied chaotic maps on metric measure space. As a way of studying he used the theory of operator algebras and obtained some important results concerning chaos maps and wavelets theory.(2) J. Tomiyama has clarified the structure of bounded orbit equivalence of topological dynamical systems for the interplay between topolocicl dynamics and C*-theory. He also classified the ideals of homeomorphism C*-algebras to show their structure in connection with the general isomorphism problem.(3) F. Uchida showed behavior of smooth actions of non-compact semi-simple Lie groups. Moreover he clarified construction and classification concerning smooth actions of Sp(p,q) on the (4p+4q-1)-sphere.(4) T. Okayasu obtained some important results concerning Lowener-Hainz inequalties in Banach*-algebras and a multivariable von Neumann's inequality.(5) S. Mori proved, for any given transcendental meromorphic mapping of CィイD1mィエD1 into PィイD1nィエD1(C), that one can eliminate all defects (deficient hyperplanes, deficient hypersurfaces) and defects of rational moving targets by a small deformation of the mapping, and also proved that meromorphic mappings without defects in dense in a space of transcendental meromorphic mappings.(6) E. Sato studied the Banach algebra M(p,q), which is defined by the translation invariant operators from Lp(G) to Lq(G) on infinite compact abelian groups. Also I studied the transference of continuity from maximal Fourier multiplier operators on n-dimensional Euclidian space to those on n-dimensional torus.