Spectral Analysis Of Singularities Of Distributions

This project report entitled by 00Spectral analysis of singularities of distributions00rnexplored how singularities appeared in the theory of distribution. The main objective of thernstudy is to detect singularities of distributions from both smoothness and analytic point ofrnview. And those singularities that we are talking about can be detected by using the conicrnset which tells us the direction where the singularities are coming from and using the singularrnsupport of a given function which describes the location of singularities. In the study wernused a new set called the wave front set which explored both the location and direction ofrnsingularities.

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