THE STUDY OF HYPERFUNCTION QUANTUM FIELD THEORY

超函数量子场论研究

基本信息

  • 批准号:
    12640181
  • 负责人:
  • 金额:
    $ 1.86万
  • 依托单位:
  • 依托单位国家:
    日本
  • 项目类别:
    Grant-in-Aid for Scientific Research (C)
  • 财政年份:
    2000
  • 资助国家:
    日本
  • 起止时间:
    2000 至 2002
  • 项目状态:
    已结题

项目摘要

In the paper "Hyperfunction quantum field theory : Analytic structure, modular aspects, and local observable algebras" by S. Nagamachi and E. Bruning, the net of local observable algebras is constructed in the theory of hyperfunction quantum field, which plays an important role in the theory of Haag-Araki. Special technique is required in the hyperfunction quantum field theory because test-functions with compact supports which are used in standard tempered quantum field theory are not available in the hyperfunction quantum field theory.In the paper "SUPPORT AND KERNEL THEOREM FOR FOURIER HYPERFUNCTIONS" by T. Nishimura and S. Nagamachi the kernel theorem with support conditions is proved for Fourier hyperfunctions, using the method of complexanasysis in several variables. In the paper "Kernel Theorem for Fourier Hyperfunctions" by E. Bruning and S. Nagamachi the same result is proved in another method, the method of functional analysis.In the paper "Hyperfunction quantum field ; theory : Localized fields without localized test functions" by S. Nagamachi and E. Bruning a model which satisfies all the axioms of hyperfunction quantum field theory, and has no test-functions of compact supports.
In the paper "Hyperfunction quantum field theory : Analytic structure, modular aspects, and local observable algebras" by S. Nagamachi and E. Bruning, the net of local observable algebras is constructed in the theory of hyperfunction quantum field, which plays an important role in the theory of Haag-Araki. Special technique is required in the hyperfunction quantum field theory because test-functions with compact supports which are used in standard tempered quantum field theory are not available in the hyperfunction quantum field theory.In the paper "SUPPORT AND KERNEL THEOREM FOR FOURIER HYPERFUNCTIONS" by T. Nishimura and S. Nagamachi the kernel theorem with support conditions is proved for Fourier hyperfunctions, using the method of complexanasysis in several variables. In the paper "Kernel Theorem for Fourier Hyperfunctions" by E. Bruning and S. Nagamachi the same result is proved in another method, the method of functional analysis.In the paper "Hyperfunction quantum field ; theory : Localized fields without localized test functions" by S. Nagamachi and E. Bruning a model which satisfies all the axioms of hyperfunction quantum field theory, and has no test-functions of compact supports.

项目成果

期刊论文数量(16)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
T.Nishimura, S.Nagamachi: "SUPPORT AND KERNEL THEOREM FOR FOURIER HYPERFUNCTIONS"Osaka J.Math.. 38-3. 667-680 (2001)
T.Nishimura,S.Nagamachi:“傅立叶超函数的支持和核定理”Osaka J.Math.. 38-3。
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T. Nishimura and S. Nagamachi: "SUPPORT AND KERNEL THEOREM FOR FOURIER HYPERFUNCTIONS"Osaka J. Math.. 38. 667-680 (2001)
T. Nishimura 和 S. Nagamachi:“傅里叶超函数的支持和核定理”Osaka J. Math.. 38. 667-680 (2001)
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E. Bruning and S. Nagamachi: "Kernel Theorem for Fourier Hyperfunotions"J. Math. The University of Tokushima. 35. 57-64 (2001)
E. Bruning 和 S. Nagamachi:“傅里叶超函数的核定理”J。
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S.Nagamachi, E.Bruning: "Hyperfunction quantum field ; theory : Localized fields without localized test functions"Lett. Math. Phys.. (印刷中). (2003)
S.Nagamachi,E.Bruning:“超函数量子场;理论:没有局域测试函数的局域场”Lett。
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    0
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E.Bruning, S.Nagamachi: "Kernel Theorem for Fourier Hyperfunctions"J.Math. The University of Tokushima. 35. 57-64 (2001)
E.Bruning,S.Nagamachi:“傅立叶超函数的核定理”J.Math。
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NAGAMACHI Shigeaki其他文献

NAGAMACHI Shigeaki的其他文献

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{{ truncateString('NAGAMACHI Shigeaki', 18)}}的其他基金

The study of the axiomatic quantum field theory using ultrahyperfunctions
利用超超函数研究公理量子场论
  • 批准号:
    16540159
  • 财政年份:
    2004
  • 资助金额:
    $ 1.86万
  • 项目类别:
    Grant-in-Aid for Scientific Research (C)
The Study of Hyperfunction Quantum Field Theory
超函数量子场论研究
  • 批准号:
    10640174
  • 财政年份:
    1998
  • 资助金额:
    $ 1.86万
  • 项目类别:
    Grant-in-Aid for Scientific Research (C)
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