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Weierstrass Transforms of Positive Functions

✍ Scribed by D. V. Widder

Book ID
123669800
Publisher
National Academy of Sciences
Year
1951
Tongue
English
Weight
126 KB
Volume
37
Category
Article
ISSN
0027-8424

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πŸ“œ SIMILAR VOLUMES

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✍ V Karunakaran; T Venugopal πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 251 KB

The classical theory of the Weierstrass transform is extended to a generalized function space which is the dual of a testing function space consisting of purely entire functions with certain growth conditions developed by Kenneth B. Howell. An inversion formula and characterizations for this transfo

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For a special type of fractional differentiation, formulas for the Weierstrass and the Weierstrass-Mandelbrot functions are shown. For integer valued parameters 2, a well conditioned numerical procedure for computing the derivatives in the mean of these functions is derived and used to compute some