M. Kostić, S. Pilipović, D. Velinov, “Hyperfunction semigroups”, Sibirsk. Mat. Zh., 2015, Volume 56, Number 4,Pages <nobr>821

Hyperfunction semigroups

M. Kostić^a, S. Pilipović^b, D. Velinov^c

^a University of Novi Sad, Faculty of Technical Sciences, Novi Sad, Serbia
^b University of Novi Sad, Novi Sad, Serbia
^c Department for Mathematics, Faculty of Civil Engineering, University Ss. Cyril and Methodius–Skopje, Skopje, Macedonia

Abstract: We analyze Fourier hyperfunction and hyperfunction semigroups with nondensely defined generators and their connections with local convoluted $C$-semigroups. Structural theorems and spectral characterizations give necessary and sufficient conditions for the existence of these semigroups generated by a closed possibly not densely defined operator $A$.

Keywords: Fourier hyperfunction semigroups, hyperfunction semigroups, structural theorems.

UDC: 517.98

Received: 02.02.2014

DOI: 10.17377/smzh.2015.56.409