|Budget Amount *help
¥1,200,000 (Direct Cost : ¥1,200,000)
Fiscal Year 1996 : ¥400,000 (Direct Cost : ¥400,000)
Fiscal Year 1995 : ¥400,000 (Direct Cost : ¥400,000)
Fiscal Year 1994 : ¥400,000 (Direct Cost : ¥400,000)
The concept of paradistributions posed by Hanzawa in 1992 is a new class of generalized functions including. Schwarty distributions, in which the product of a Schwarty distribution and a paradistribution is always defined as a paradistribution.
Then, the product of finite Schwarty distributions are always defined as a paradistribution, so that the power of delta function are obtained in paradistributions.
The purpose of this research was, to construct a topology and a frame of Fourier analysis of paradistributions, for applications in physics, esphecially in the quantum field theory.
However, I could not find a natural topology and a natural frame of Fourier analysis.
After now, I plan to consider naive problem, e.g., on the product of Heaviside function and the delta function appeared in physics,
In the report, I pose a result, concerning soon equalities containing the power of delta functions, which are used in physics.