Exponential type distributions and a generalized functional calculus for generators of $C_0$-groups


  • V.Ya. Lozynska Institute for Applied Problems of Mechanics and Mathematics, 3b Naukova str., 79060, Lviv, Ukraine


exponential type distributions, generalized functional calculus, Fourier-image
Published online: 2011-06-30


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

How to Cite
Lozynska, V. Exponential Type Distributions and a Generalized Functional Calculus for Generators of $C_0$-Groups. Carpathian Math. Publ. 2011, 3, 73–84.