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The Discovery of the Infinitesimal Calculus

✍ Scribed by TURNBULL, H. W.

Book ID
109566096
Publisher
Nature Publishing Group
Year
1951
Tongue
English
Weight
382 KB
Volume
167
Category
Article
ISSN
0028-0836

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✍ JosΓ© E. GalΓ©; Tadeusz Pytlik πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 523 KB

We give a functional calculus formula for infinitesimal generators of holomorphic semigroups of operators on Banach spaces, which involves the Bochner Riesz kernels of such generators. The rate of smoothness of operating functions is related to the exponent of the growth on vertical lines of the ope