Distributions and Analytic Functions (Pitman Research Notes in Mathematics Series)

The authors present a survey of distributions and complex variables and give detailed proofs and examples of their analysis. Areas which are examined include the representation of distributions as boundary values of analytic functions in one and several variables; the development of the one-dimensional boundary value analysis and the application of results from the one-dimensional distributional boundary value to produce solutions to boundary value problems and convolution equations.Professional mathematicians and graduate research students involved in functional analysis, complex variables and harmonic analysis. The book will also be of interest to physicists working in quantum field theory and engineers.