Exponential type distributions and a generalized functional calculus for gener- ators of $C_{0}$-groups

V. Ya. Lozynska


The properties of a dual space to a space of entire functions of exponential type of manycomplex variables, that on the real subspace belongs to $L_{p}(R^{n})$ ($1\leq p<\infty$) are described. A functional calculus for generators of strongly continuous groups of bounded linear operatorson an arbitrary Banach space in a Fourier-image of such dual space is constructed.

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