@article {10.3844/jmssp.2007.207.210, article_type = {journal}, title = {On a Class of Nonhomogeneous Fields in Hilbert Space}, author = {Hatamleh, Raéd}, volume = {3}, year = {2007}, month = {Dec}, pages = {207-210}, doi = {10.3844/jmssp.2007.207.210}, url = {https://thescipub.com/abstract/jmssp.2007.207.210}, abstract = {Two-parametric semigroups of operators in Hilbert space with bounded infinitesimal doubly commuting operators are studied. The characteristics describing deviation of a semigroup from unitary one, when infinitesimal operators are unitary, in particular, nonunitary index, have been introduced. Necessary and sufficient conditions for nonunitary index finiteness have been obtained.}, journal = {Journal of Mathematics and Statistics}, publisher = {Science Publications} }