A joint spectral mapping theorem for sets of semigroup generators
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- Mirotin, A.R. Funct Anal Its Appl (2012) 46: 210. doi:10.1007/s10688-012-0026-0
In the context of the multidimensional functional calculus of semigroup generators, which is based on the class of Bernstein functions in several variables (and is also known as Bochner-Phillips multidimensional functional calculus), a spectral mapping theorem for the Taylor spectrum of a set of commuting generators is proved.
Key wordsmultiparameter semigroup of operators multidimensional functional calculus Taylor spectrum Bernstein function spectral mapping theorem
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