On Analytic Continuation, Multiplication, and Fourier Transformations of Schwartz Distributions
On Analytic Continuation, Multiplication, and Fourier Transformations of Schwartz Distributions
It is shown that a class of Schwartz distributions on the real axis can be continued to holomorphic functions in the upper and lower complex half-planes such that the ``jump'' on the real axis represents the distribution. Many operations with distributions can be reduced to operations with the associated holomorphic …