- journal articles metadata
European Mathematical Society Publishing House
2024-03-28 13:45:39
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https://www.ems-ph.org/meta/jmeta-stream.php?jrn=PRIMS&vol=10&iss=1&update_since=2024-03-28
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
10
1974
1
One-parameter Family of Radon-Nikodym Theorems for States of a von Neumann Algebra
Huzihiro
Araki
Kyoto University, KYOTO, JAPAN
General
1
10
10.2977/prims/1195192170
http://www.ems-ph.org/doi/10.2977/prims/1195192170
Characterization of Inner *-Automorphisms of W*-Algebras
Hans
Borchers
Universität Göttingen, GÖTTINGEN, GERMANY
General
11
49
10.2977/prims/1195192171
http://www.ems-ph.org/doi/10.2977/prims/1195192171
Spectral Representation for Continuous State Branching Processes
Yukio
Ogura
Kyushu University, FUKUOKA, JAPAN
General
51
75
10.2977/prims/1195192172
http://www.ems-ph.org/doi/10.2977/prims/1195192172
On the Periods of Certain Pseudorandom Sequences
Masahiko
Sato
University of Tokyo, TOKYO, JAPAN
In [1], Rader et al. gave a fast method for generating pseudorandom sequences. Concerning these sequences, Moriyama et al. [2] made a research including the computational results by computers. In this paper we shall study the periods of these sequences, and give an affirmative answer to the following conjecture presented in [2]: "Let k(n) be the maximum period of n-bit pseudorandom sequences generated by the Rader's method. Then k(2n) = 2k(n) for alln." We shall also prove a number of algebraic properties of the periods, and give an efficient algorithm for computing k(n). We remark here that in this paper we are interested only in the algebraic properties of these sequences and not in the randomness of these sequences.
General
77
89
10.2977/prims/1195192173
http://www.ems-ph.org/doi/10.2977/prims/1195192173
Mixed Problem for Hyperbolic Systems of First Order II
Masaru
Taniguchi
Tokyo University of Science, CHIBA-KEN, JAPAN
General
91
100
10.2977/prims/1195192174
http://www.ems-ph.org/doi/10.2977/prims/1195192174
Vanishing Theorems for Weakly 1-Complete Manifolds, II
Shigeo
Nakano
Kyoto University, KYOTO, JAPAN
General
101
110
10.2977/prims/1195192175
http://www.ems-ph.org/doi/10.2977/prims/1195192175
Infinite Tensor Products of Operators
Yoshiomi
Nakagami
Tokyo Institute of Technology, TOKYO, JAPAN
General
111
145
10.2977/prims/1195192176
http://www.ems-ph.org/doi/10.2977/prims/1195192176
Difference Approximation of Nonlinear Evolution Equations and Semigroups of Nonlinear Operators
Nobuyuki
Kenmochi
Hiroshima University, HIROSHIMA, JAPAN
Shinnosuke
Oharu
Waseda University, TOKYO, JAPAN
General
147
207
10.2977/prims/1195192177
http://www.ems-ph.org/doi/10.2977/prims/1195192177
On the First Initial-Boundary Value Problem of the Generalized Burgers' Equation
Atusi
Tani
Tokyo Institute of Technology, TOKYO, JAPAN
General
209
233
10.2977/prims/1195192178
http://www.ems-ph.org/doi/10.2977/prims/1195192178
Une Remarque sur le Prolongement Analytique d'une Fonction Méromorphe
Susumu
Isonaga
University of Tokyo, TOKYO, JAPAN
General
235
241
10.2977/prims/1195192179
http://www.ems-ph.org/doi/10.2977/prims/1195192179
A Remark on Cauchy-Kowalevski's Theorem
Masatake
Miyake
Nagoya University, NAGOYA, CHIKUSA-KU, JAPAN
General
243
255
10.2977/prims/1195192180
http://www.ems-ph.org/doi/10.2977/prims/1195192180
Approximation of Exponential Function of a Matrix by Continued Fraction Expansion
Masatake
Mori
Tokyo Denki University, TOKYO, JAPAN
A numerical method for high order approximation of u(t) = exp (tA)u0, where A is an N × N matrix and u0 is an N dimensional vector, based on the continued fraction expansion of exp z is given. The approximants Hk(z) of the continued fraction expansion of exp z are shown to satisfy |Hk(z)| ≤ 1 for Re z ≤ 0, which results in an unconditionally stable method when every eigenvalue of A lies in the left half-plane or on the imaginary axis.
General
257
269
10.2977/prims/1195192181
http://www.ems-ph.org/doi/10.2977/prims/1195192181
A Formal System of Partial Recursive Functions
Hiroakira
Ono
Japan Advanced Institute of Science and Technology, ISHIKAWA, JAPAN
General
271
291
10.2977/prims/1195192182
http://www.ems-ph.org/doi/10.2977/prims/1195192182
On Resolutions of Cyclic Quotient Singularities
Akira
Fujiki
Kyoto University, KYOTO, JAPAN
General
293
328
10.2977/prims/1195192183
http://www.ems-ph.org/doi/10.2977/prims/1195192183