1995 | OriginalPaper | Chapter
Introduction
Authors : V. P. Havin, N. K. Nikol’skij
Published in: Commutative Harmonic Analysis III
Publisher: Springer Berlin Heidelberg
Included in: Professional Book Archive
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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.