This text compares and evaluates various approaches to the theory of distributions which have appeared since the original presentation by Laurent Schwartz in the 1950s. In so doing, it attempts to clarify some of the differences in notation and terminology which have arisen. It includes a systematic treatment of the ultradistributions which arise in connections with the extended definition of the Fourier transform.
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This new text compares and evaluates various approaches to the theory of distributions which have appeared since the original presentation by Laurent Schwartz in the 1950s. In doing so, it attempts to clarify some of the differences in notation and terminology which have arisen, and includes a systematic treatment of the ultradistributions which arise in connections with the extended definition of the Fourier transform. For researchers in mathematics and engineering - especially in the areas of communication and information theory.
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