Methods of Renormalization and Distributions

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概要

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• In this article, we consider the mathematical meaning of renormalization. We show that divergent integrals can be given finite values in the case of conditional convergence of extended integrals by subtracting an infinite quantity. This can be considered as a kind of renormalization of divergent integrals. Using this method of renormalization, we define distributional extensions of measurable functions with nonsummable singuralities.

• 徳島大学の論文
• 2002-01-31

著者

• Ito Yoshifumi

  Faculty Of Integrated Arts And Sciences The University Of Tokushima

関連論文

• Theory of Infraexponential Holomorphic Functions
• Theory of (Vector-Valued) Sato Hyperfunctions on a Real-Analytic Manifold
• Theory of General Fourier Hyperfunctions
• Methods of Renormalization and Distributions

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