Bicomplex holomorphic functional calculus
β Scribed by Colombo, Fabrizio; Sabadini, Irene; Struppa, Daniele C.
- Book ID
- 121664330
- Publisher
- John Wiley and Sons
- Year
- 2013
- Tongue
- English
- Weight
- 215 KB
- Volume
- 287
- Category
- Article
- ISSN
- 0025-584X
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## Abstract In this paper we study the CauchyβKowalewski extension of real analytic functions satisfying a system of differential equations connected to bicomplex analysis, and we use this extension to study the product in the space of bicomplex holomorphic functions. We also show how these ideas c
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