Representation of complex powers of C-sectorial operators

Chuang Chen, Marko Kostić, Miao Li
2014 Fractional Calculus and Applied Analysis  
AbstractThe paper is devoted to the study of representation of complex powers of closed linear operators whose negatives generate equicontinuous (g α, C)-regularized resolvent families (0 < α ≤ 2) on sequentially complete locally convex spaces. Several interesting formulas regarding powers and their domains are proved.
doi:10.2478/s13540-014-0200-6 fatcat:cdbqcj4gsvhybecswfomprb3ae