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European Mathematical Society Publishing House
2024-03-29 11:58:03
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https://www.ems-ph.org/meta/jmeta-stream.php?jrn=PRIMS&vol=21&iss=1&update_since=2024-03-29
Publications of the Research Institute for Mathematical Sciences
Publ. Res. Inst. Math. Sci.
PRIMS
0034-5318
1663-4926
General
10.4171/PRIMS
http://www.ems-ph.org/doi/10.4171/PRIMS
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European Mathematical Society Publishing House
Zuerich, Switzerland
© Research Institute for Mathematical Sciences, Kyoto University
21
1985
1
Weakly Hyperbolic Cauchy Problem for Second Order Opeators
Tatsuo
Nishitani
Kyoto University, KYOTO, JAPAN
General
1
26
10.2977/prims/1195179838
http://www.ems-ph.org/doi/10.2977/prims/1195179838
Hyperbolic Fibre Spaces and Mordell's Conjecture over Function Fields
Junjiro
Noguchi
Tokyo Institute of Technology, TOKYO, JAPAN
General
27
46
10.2977/prims/1195179839
http://www.ems-ph.org/doi/10.2977/prims/1195179839
Stability Changes of Periodic Solutions to a Coupled Nonlinear Equation with Time Delay
Yoshihisa
Morita
Kyoto University, KYOTO, JAPAN
General
47
74
10.2977/prims/1195179840
http://www.ems-ph.org/doi/10.2977/prims/1195179840
Extended Affine Root Systems I (Coxeter transformations)
Kyoji
Saito
Kyoto University, KYOTO, JAPAN
General
75
179
10.2977/prims/1195179841
http://www.ems-ph.org/doi/10.2977/prims/1195179841
Some Applications of Boolean Valued Set Theory to Abstract Harmonic Analysis on Locally Compact Groups
Hirokazu
Nishimura
Kyoto University, KYOTO, JAPAN
The main purpose of this paper is to extend Takeuti's [23] Boolean valued treatment of abstract harmonic analysis on locally compact abelian groups to locally compact groups (neither abelian nor compact in general). The distinctive feature of our approach, compared with traditional treatments of the subject, is that we can establish many important theorems without resort to direct integrals or to the theory of Banach algebras. By way of illustration, we will give such a proof of renowned Bochner's theorem. This paper is not intended to be exhaustive at all but hopefully to be suggestive. How far we can proceed in this direction yet remains to be seen.
General
181
190
10.2977/prims/1195179842
http://www.ems-ph.org/doi/10.2977/prims/1195179842
A Noncommutative Marcinkiewicz Theorem
Klaus
Baumann
Georg-August-Universität Göttingen, GÖTTINGEN, GERMANY
Gerhard
Hegerfeldt
Georg-August-Universität Göttingen, GÖTTINGEN, GERMANY
General
191
204
10.2977/prims/1195179843
http://www.ems-ph.org/doi/10.2977/prims/1195179843
Partial *-Algebras of Closed Linear Operators In Hilbert Space
Jean-Pierre
Antoine
Université Catholique de Louvain, LOUVAIN-LA-NEUVE, BELGIUM
W.
Karwowski
Uniwersytet Wroclawski, WROCLAW, POLAND
Given a dense domain D of a Hilbert space, we consider the class of all closed operators which, together with their adjoint, have D in their domain. A partial *-algebra of operators on D is a subset of that class, stable under suitable operations of involution, addition and multiplication, the latter when it is defined. We present two types of such objects and study their properties, both algebraic and topological.
General
205
236
10.2977/prims/1195179844
http://www.ems-ph.org/doi/10.2977/prims/1195179844
Cramer-type Formula for the Polynomial Solutions of Coupled Linear Equations with Polynomial Coefficients
Tateaki
Sasaki
University of Tsukuba, IBARAKI, JAPAN
This paper derives a determinant form formula for the general solution of coupled linear equations with coefficients in K[x1,…⋯, xn], where K is a field of numbers, the number of unknowns is greater than the number of equations, and the solutions are in K(x1,…⋯, xn–1)[xn]. The formula represents the general solution by the minimum number of generators, and it is a generalization of Cramer's formula for the solutions in K(x1,…⋯, xn). Compared with another formula which is obtained by a method typical in algebra, the generators in our formula are represented by determinants of quite small orders.
General
237
254
10.2977/prims/1195179845
http://www.ems-ph.org/doi/10.2977/prims/1195179845