Commutative Harmonic Analysis III pp 3-4 | Cite as
Introduction
Chapter
Abstract
The theory of generalized functions is a general method that makes it possible to consider and compute divergent integrals, sum divergent series, differentiate discontinuous functions, perform the operation of integration to any complex power and carry out other such operations that are impossible in classical analysis. Such operations are widely used in mathematical physics and the theory of differential equations, where the ideas of generalized functions first arose, in other areas of analysis and beyond.
Keywords
Generalize Function Harmonic Analysis Classical Analysis Finite Order Discontinuous Function
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© Springer-Verlag Berlin Heidelberg 1995