TY - JOUR
AU - Lozynska, V.Ya.
PY - 2011/06/30
Y2 - 2024/07/20
TI - Exponential type distributions and a generalized functional calculus for generators of $C_0$-groups
JF - Carpathian Mathematical Publications
JA - Carpathian Math. Publ.
VL - 3
IS - 1
SE - Scientific articles
DO -
UR - https://journals.pnu.edu.ua/index.php/cmp/article/view/3089
SP - 73–84
AB - <p>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.</p>
ER -