Memoirs of the Faculty of Science, Kyushu University. Series A, Mathematics

Online ISSN : 1883-2172
Print ISSN : 0373-6385
ISSN-L : 0373-6385

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Issue 2 Pages 195-
Issue 1 Pages 1-

Volume 34, Issue 2

Displaying 1-11 of 11 articles from this issue

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NUMERICAL SOLUTION OF TIME OPTIMAL CONTROL PROBLEMS BY A FINITE CHEBYSHEV SERIES, PART 1; COMPUTATION

Kumiko ITOH

1980 Volume 34 Issue 2 Pages 195-232
Published: 1980
Released on J-STAGE: February 13, 2008

DOIhttps://doi.org/10.2206/kyushumfs.34.195

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NUMERICAL SOLUTION OF TIME OPTIMAL CONTROL PROBLEMS BY A FINITE CHEBYSHEV SERIES, PART 2; NUMERICAL SOLVABILITY

Kumiko ITOH

1980 Volume 34 Issue 2 Pages 233-269
Published: 1980
Released on J-STAGE: February 13, 2008

DOIhttps://doi.org/10.2206/kyushumfs.34.233

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NUMERICAL SOLUTION OF TIME OPTIMAL CONTROL PROBLEMS BY A FINITE CHEBYSHEV SERIES, PART 3; SUFFICIENT CONDITIONS FOR A LOCAL MINIMUM

Kumiko ITOH

1980 Volume 34 Issue 2 Pages 271-309
Published: 1980
Released on J-STAGE: February 13, 2008

DOIhttps://doi.org/10.2206/kyushumfs.34.271

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CONTROLLED MARKOV JUMP PROCESSES ASSOCIATED WITH A CHOICE OF STOPPING RULES

Yoshio OHTSUBO

1980 Volume 34 Issue 2 Pages 311-337
Published: 1980
Released on J-STAGE: February 13, 2008

DOIhttps://doi.org/10.2206/kyushumfs.34.311

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AFFINE STRUCTURE OF SOME SOLVABLE LIE GROUP

Satoru YAMAGUCHI

1980 Volume 34 Issue 2 Pages 339-345
Published: 1980
Released on J-STAGE: February 13, 2008

DOIhttps://doi.org/10.2206/kyushumfs.34.339

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THE EBERLEIN THEOREM ON NON-COMMUTATIVE LOCALLY COMPACT GROUPS

Kiyoshi IKESHOJI, Itaru MITOMA, Yoshiaki OKAZAKI

1980 Volume 34 Issue 2 Pages 347-349
Published: 1980
Released on J-STAGE: February 13, 2008

DOIhttps://doi.org/10.2206/kyushumfs.34.347

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The Eberlein theorem is established on general locally compact groups introducing a definition of the Fourier-Stieltjes transform.

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REMARKS ON SEMI-PROPER EQUIVALENCE RELATIONS ON COMPLEX SPACES

Mikio FURUSHIMA

1980 Volume 34 Issue 2 Pages 351-355
Published: 1980
Released on J-STAGE: February 13, 2008

DOIhttps://doi.org/10.2206/kyushumfs.34.351

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PONTRYAGIN DUALITY FOR NON-ABELIAN LOCALLY COMPACT GROUPS

Kiyoshi IKESHOJI, Yoshiaki OKAZAKI

1980 Volume 34 Issue 2 Pages 357-362
Published: 1980
Released on J-STAGE: February 13, 2008

DOIhttps://doi.org/10.2206/kyushumfs.34.357

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Let $X$ be the set of all function $x: P_e(G) \\ o C$ satisfying the inequality $|\\sum_{i=1}^n \\alpha_i x(p_i)-x(p)x(q)| \\leq C(x) \\sup_{g \\in K(x)} | \\sum_{i=1}^n \\alpha_i p_i(g) -p(g)q(g)|$, for every $n,\\alpha_1,\\alpha_2,...,\\alpha_n \\in C$ and $p_1,p_2,...,p_n,p,q \\in P_e(G)$,where $C(x)>0$ and $K(x)$ is a compact subset of $G$. Then a topological group structure can be defined on $X$ so that $X$ is isomorphic to $G$. The inequality can be replaced by $|\\sum_{i=1}^n \\alpha_i x(p_i)-x(p)x(q)| \\leq \\sup_{g \\in G} |f(g)(\\sum_{i=1}^n \\alpha_ip_i (g)-p(g)q(g))|$, where $f=f_x \\in C_\\infty(G)$.

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A NOTE ON FROBENIUS' OPERATORS IN THE CHARACTER RING OF A FINITE GROUP

Chiaki NAGASAKA

1980 Volume 34 Issue 2 Pages 363-368
Published: 1980
Released on J-STAGE: February 13, 2008

DOIhttps://doi.org/10.2206/kyushumfs.34.363

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TESTS AGAINST ORDER RESTRICTIONS IN BINOMIAL POPULATIONS

Hidekazu NAGAHATA

1980 Volume 34 Issue 2 Pages 369-378
Published: 1980
Released on J-STAGE: February 13, 2008

DOIhttps://doi.org/10.2206/kyushumfs.34.369

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A REPRESENTATION OF REAL K-GROUPS BY MEANS OF A BANACH ALGEBRA

Kazuyuki FUJII

1980 Volume 34 Issue 2 Pages 379-394
Published: 1980
Released on J-STAGE: February 13, 2008

DOIhttps://doi.org/10.2206/kyushumfs.34.379

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