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Oct 18, 2019 at 23:14 history edited Dima Pasechnik CC BY-SA 4.0
added a connection to Laplace
Oct 16, 2019 at 19:34 comment added Dima Pasechnik Thanks, I know about this book - the most puzzling to me thing there is a lack of connection between Fantappie transformations and Laplace transform (I'll explain in the question what I mean more precisely).
Oct 16, 2019 at 13:08 comment added Daniele Tampieri Fantappiè conceived the now called Fantappiè transform as a means for extending the concept of "indicatrix of an analytic functional" from the one-dimensional setting to the multidimensional one: however, that was not satisfactory because it can be applied only special classes of analytic functionals. Perhaps it was for this reason that Gel'fand and coauthors did not publish a treatment of the subject. In my opinion, the best modern source is the monograph of Andersson, Passare and Sigurdsson".
Oct 16, 2019 at 9:14 history asked Dima Pasechnik CC BY-SA 4.0