Quasi-equicontinous exponential families of generalized function C-semigroups in locally convex spaces

Abstract

© 2018, Springer-Verlag Italia S.r.l., part of Springer Nature. Our main goal in this paper is to investigate the quasi-equicon-tinuous exponential C-distribution semigroups and quasi-equicontinuous exponential C-ultradistribution semigroups in the setting of sequentially complete locally convex spaces. We contribute to previous work and the work of many other authors, providing additionally plenty of various examples and applications of obtained results.