All issues
Volume 29 (1977)
- Issue 4 Pages 591-
- Issue 3 Pages 385-
- Issue 2 Pages 189-
- Issue 1 Pages 1-
Predecessor
- Proceedings of the Physico-Mathematical Society of Japan. 3rd Series
- Proceedings of the Tokyo Mathematico-Physical Society. 2nd Series
- Tokyo Sugaku-Butsurigakukwai Kiji-Gaiyo
- Tokyo Sugaku-Butsurigakkwai Hokoku
- Tokyo Sugaku-Butsurigaku Kwai Kiji
- Tokyo Sugaku-Butsurigaku Kwai Kiji
- Tokyo Sugaku Kaisya Zasshi
Volume 29, Issue 3
Displaying 1-13 of 13 articles from this issue
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Akira KANEKO1977 Volume 29 Issue 3 Pages 385-398
Published: 1977
Released on J-STAGE: October 20, 2006
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Hitoshi KUMANO-GO1977 Volume 29 Issue 3 Pages 399-406
Published: 1977
Released on J-STAGE: October 20, 2006
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Kusuo KOBAYASHI, Tunekiti SIRAO, Hiroshi TANAKA1977 Volume 29 Issue 3 Pages 407-424
Published: 1977
Released on J-STAGE: October 20, 2006
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Noriaki KAWANAKA1977 Volume 29 Issue 3 Pages 425-450
Published: 1977
Released on J-STAGE: October 20, 2006
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Silvio MACHADO, João B. PROLLA1977 Volume 29 Issue 3 Pages 451-458
Published: 1977
Released on J-STAGE: October 20, 2006
JOURNAL FREE ACCESSRecently we gave a solution to the Bernstein-Nachbin Approximation Problem in the general complex case. As a corollary, we obtained the quasi-analytic, the analytic, and the bounded criteria for localizability in the general complex case. This generalizes the known results of the real or self-adjoint complex cases, in the same way that Bishop's Theorem generalizes the Weierstrass-Stone Theorem. In this paper, we present a direct proof of the bounded criterion for localizability, and show how it can be used to get a new proof of our solution of the Bernstein-Nachbin Approximation Problem. The proof in the real case is based in the idea of the proof of the Weierstrass-Stone Theorem discovered by one of us; the general complex case follows by Zorn's Lemma.View full abstractDownload PDF (662K) -
Mitsuhiro TAKEUCHI1977 Volume 29 Issue 3 Pages 459-492
Published: 1977
Released on J-STAGE: October 20, 2006
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Yosio MUTO1977 Volume 29 Issue 3 Pages 493-511
Published: 1977
Released on J-STAGE: October 20, 2006
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Toshio NISHIMURA, Takemasa OHYA1977 Volume 29 Issue 3 Pages 513-527
Published: 1977
Released on J-STAGE: October 20, 2006
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Hironori SHIGA1977 Volume 29 Issue 3 Pages 529-535
Published: 1977
Released on J-STAGE: October 20, 2006
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B. WEGNER1977 Volume 29 Issue 3 Pages 537-540
Published: 1977
Released on J-STAGE: October 20, 2006
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Takasi KUSANO, Hiroshi ONOSE1977 Volume 29 Issue 3 Pages 541-559
Published: 1977
Released on J-STAGE: October 20, 2006
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Yoshio KIMURA1977 Volume 29 Issue 3 Pages 561-580
Published: 1977
Released on J-STAGE: October 20, 2006
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Hirohiko SHIMA1977 Volume 29 Issue 3 Pages 581-589
Published: 1977
Released on J-STAGE: October 20, 2006
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